98946345600 has 864 divisors, whose sum is σ = 385896551040. Its totient is φ = 24111820800.

The previous prime is 98946345527. The next prime is 98946345613. The reversal of 98946345600 is 654364989.

98946345600 is a `hidden beast` number, since 9 + 8 + 9 + 46 + 34 + 560 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 322300647 + ... + 322300953.

Almost surely, 2^98946345600 is an apocalyptic number.

98946345600 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 98946345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192948275520).

98946345600 is an abundant number, since it is smaller than the sum of its proper divisors (286950205440).

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

98946345600 is a wasteful number, since it uses less digits than its factorization.

98946345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 98946345600 in words is "ninety-eight billion, nine hundred forty-six million, three hundred forty-five thousand, six hundred".