113512439435904 has 320 divisors, whose sum is σ = 351526102884000. Its totient is φ = 36331131045888.

The previous prime is 113512439435887. The next prime is 113512439435933. The reversal of 113512439435904 is 409534934215311.

113512439435904 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 1 + 2 + 4 + 3 + 9 + 43 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24145882 + ... + 28461350.

Almost surely, 2^{113512439435904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113512439435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175763051442000).

113512439435904 is an abundant number, since it is smaller than the sum of its proper divisors (238013663448096).

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

113512439435904 is an equidigital number, since it uses as much as digits as its factorization.

113512439435904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315597 (or 4315576 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 113512439435904 in words is "one hundred thirteen trillion, five hundred twelve billion, four hundred thirty-nine million, four hundred thirty-five thousand, nine hundred four".