113716638097920 has 6400 divisors, whose sum is σ = 551956992491520. Its totient is φ = 21900401049600.

The previous prime is 113716638097897. The next prime is 113716638097963. The reversal of 113716638097920 is 29790836617311.

113716638097920 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 166 + 380 + 9 + 7 + 92 + 0 = 666.

113716638097920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 296910282049 + ... + 296910282431.

Almost surely, 2^{113716638097920} is an apocalyptic number.

113716638097920 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 113716638097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275978496245760).

113716638097920 is an abundant number, since it is smaller than the sum of its proper divisors (438240354393600).

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

113716638097920 is a wasteful number, since it uses less digits than its factorization.

113716638097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 113716638097920 in words is "one hundred thirteen trillion, seven hundred sixteen billion, six hundred thirty-eight million, ninety-seven thousand, nine hundred twenty".