113931878400 has 960 divisors, whose sum is σ = 451328797260. Its totient is φ = 28311552000.

The previous prime is 113931878363. The next prime is 113931878449. The reversal of 113931878400 is 4878139311.

113931878400 is a `hidden beast` number, since 1 + 1 + 393 + 187 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 89023463424 + 24908414976 = 298368^2 + 157824^2 .

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1128038350 + ... + 1128038450.

Almost surely, 2^113931878400 is an apocalyptic number.

113931878400 is a gapful number since it is divisible by the number (10) 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 113931878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225664398630).

113931878400 is an abundant number, since it is smaller than the sum of its proper divisors (337396918860).

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

113931878400 is an equidigital number, since it uses as much as digits as its factorization.

113931878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 113931878400 in words is "one hundred thirteen billion, nine hundred thirty-one million, eight hundred seventy-eight thousand, four hundred".