113599418400 has 432 divisors, whose sum is σ = 432700055424. Its totient is φ = 27878307840.

The previous prime is 113599418399. The next prime is 113599418431. The reversal of 113599418400 is 4814995311.

113599418400 is a `hidden beast` number, since 1 + 1 + 3 + 599 + 4 + 18 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34349547 + ... + 34352853.

Almost surely, 2^113599418400 is an apocalyptic number.

113599418400 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 113599418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216350027712).

113599418400 is an abundant number, since it is smaller than the sum of its proper divisors (319100637024).

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

113599418400 is a wasteful number, since it uses less digits than its factorization.

113599418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 113599418400 in words is "one hundred thirteen billion, five hundred ninety-nine million, four hundred eighteen thousand, four hundred".