98142912000 has 960 divisors, whose sum is σ = 409684099968. Its totient is φ = 22118400000.

The previous prime is 98142911987. The next prime is 98142912011. The reversal of 98142912000 is 21924189.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407231880 + ... + 407232120.

Almost surely, 2^98142912000 is an apocalyptic number.

98142912000 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 98142912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204842049984).

98142912000 is an abundant number, since it is smaller than the sum of its proper divisors (311541187968).

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

98142912000 is a wasteful number, since it uses less digits than its factorization.

98142912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 98142912000 in words is "ninety-eight billion, one hundred forty-two million, nine hundred twelve thousand".