998046165600 has 1440 divisors, whose sum is σ = 4190203809792. Its totient is φ = 229163904000.

The previous prime is 998046165563. The next prime is 998046165619. The reversal of 998046165600 is 6561640899.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×998046165600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21235024777 + ... + 21235024823.

Almost surely, 2^998046165600 is an apocalyptic number.

998046165600 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 998046165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095101904896).

998046165600 is an abundant number, since it is smaller than the sum of its proper divisors (3192157644192).

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

998046165600 is a wasteful number, since it uses less digits than its factorization.

998046165600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 998046165600 in words is "nine hundred ninety-eight billion, forty-six million, one hundred sixty-five thousand, six hundred".