113823921600 has 756 divisors, whose sum is σ = 446111202264. Its totient is φ = 28539371520.

The previous prime is 113823921599. The next prime is 113823921667. The reversal of 113823921600 is 6129328311.

113823921600 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 23 + 9 + 21 + 600 = 666.

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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 112362694 + ... + 112363706.

Almost surely, 2^113823921600 is an apocalyptic number.

113823921600 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 113823921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223055601132).

113823921600 is an abundant number, since it is smaller than the sum of its proper divisors (332287280664).

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

113823921600 is a wasteful number, since it uses less digits than its factorization.

113823921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 113823921600 in words is "one hundred thirteen billion, eight hundred twenty-three million, nine hundred twenty-one thousand, six hundred".