113915299525632 has 1408 divisors, whose sum is σ = 411630070579200. Its totient is φ = 30708124876800.

The previous prime is 113915299525549. The next prime is 113915299525669. The reversal of 113915299525632 is 236525992519311.

113915299525632 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 1 + 529 + 9 + 52 + 56 + 3 + 2 = 666.

113915299525632 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a self number, because there is not a number n which added to its sum of digits gives 113915299525632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6891836344 + ... + 6891852872.

It is an arithmetic number, because the mean of its divisors is an integer number (292350902400).

Almost surely, 2^{113915299525632} is an apocalyptic number.

113915299525632 is a gapful number since it is divisible by the number (12) 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 113915299525632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205815035289600).

113915299525632 is an abundant number, since it is smaller than the sum of its proper divisors (297714771053568).

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

113915299525632 is a wasteful number, since it uses less digits than its factorization.

113915299525632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16660 (or 16636 counting only the distinct ones).

The product of its digits is 39366000, while the sum is 63.

The spelling of 113915299525632 in words is "one hundred thirteen trillion, nine hundred fifteen billion, two hundred ninety-nine million, five hundred twenty-five thousand, six hundred thirty-two".