113933820908160 has 384 divisors, whose sum is σ = 433618584759360. Its totient is φ = 27335573176320.

The previous prime is 113933820908099. The next prime is 113933820908177. The reversal of 113933820908160 is 61809028339311.

113933820908160 is a `hidden beast` number, since 1 + 1 + 393 + 3 + 8 + 2 + 0 + 90 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 113933820908097 and 113933820908106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3123142 + ... + 15414981.

Almost surely, 2^{113933820908160} is an apocalyptic number.

113933820908160 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 113933820908160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216809292379680).

113933820908160 is an abundant number, since it is smaller than the sum of its proper divisors (319684763851200).

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

113933820908160 is a wasteful number, since it uses less digits than its factorization.

113933820908160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18538256 (or 18538241 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 113933820908160 in words is "one hundred thirteen trillion, nine hundred thirty-three billion, eight hundred twenty million, nine hundred eight thousand, one hundred sixty".