113011338705768 has 384 divisors, whose sum is σ = 328769956944000. Its totient is φ = 35002510663680.

The previous prime is 113011338705667. The next prime is 113011338705773. The reversal of 113011338705768 is 867507833110311.

113011338705768 is a `hidden beast` number, since 1 + 1 + 30 + 1 + 1 + 3 + 38 + 7 + 0 + 576 + 8 = 666.

113011338705768 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 95 ways as a sum of consecutive naturals, for example, 6678753948 + ... + 6678770868.

It is an arithmetic number, because the mean of its divisors is an integer number (856171762875).

Almost surely, 2^{113011338705768} is an apocalyptic number.

113011338705768 is a gapful number since it is divisible by the number (18) 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 113011338705768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164384978472000).

113011338705768 is an abundant number, since it is smaller than the sum of its proper divisors (215758618238232).

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

113011338705768 is a wasteful number, since it uses less digits than its factorization.

113011338705768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18097 (or 18090 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 113011338705768 in words is "one hundred thirteen trillion, eleven billion, three hundred thirty-eight million, seven hundred five thousand, seven hundred sixty-eight".