98916048000 has 1152 divisors, whose sum is σ = 446792411520. Its totient is φ = 20528640000.

The previous prime is 98916047999. The next prime is 98916048031. The reversal of 98916048000 is 84061989.

98916048000 is a `hidden beast` number, since 9 + 8 + 9 + 160 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 121967595 + ... + 121968405.

It is an arithmetic number, because the mean of its divisors is an integer number (387840635).

Almost surely, 2^98916048000 is an apocalyptic number.

98916048000 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 98916048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223396205760).

98916048000 is an abundant number, since it is smaller than the sum of its proper divisors (347876363520).

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

98916048000 is a wasteful number, since it uses less digits than its factorization.

98916048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 98916048000 in words is "ninety-eight billion, nine hundred sixteen million, forty-eight thousand".