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998460000000 = 283357432
BaseRepresentation
bin11101000011110001101…
…10101000011100000000
310112110012101122022122000
432201320312220130000
5112324321230000000
62042404114544000
7132064524653061
oct16417066503400
93473171568560
10998460000000
11355498705121
12141612298000
137320120ca38
143647bad0568
151ae8b46a000
hexe878da8700

998460000000 has 864 divisors, whose sum is σ = 3778595795520. Its totient is φ = 260064000000.

The previous prime is 998459999923. The next prime is 998460000029. The reversal of 998460000000 is 64899.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×9984600000003 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 998460000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23219999979 + ... + 23220000021.

Almost surely, 2998460000000 is an apocalyptic number.

998460000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998460000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889297897760).

998460000000 is an abundant number, since it is smaller than the sum of its proper divisors (2780135795520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

998460000000 is an frugal number, since it uses more digits than its factorization.

998460000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 998460000000 its reverse (64899), we get a palindrome (998460064899).

The spelling of 998460000000 in words is "nine hundred ninety-eight billion, four hundred sixty million", and thus it is an aban number.