113337055862496 has 384 divisors, whose sum is σ = 337435522744320. Its totient is φ = 36999589017600.

The previous prime is 113337055862477. The next prime is 113337055862497. The reversal of 113337055862496 is 694268550733311.

It is a happy number.

113337055862496 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 3 + 7 + 0 + 5 + 586 + 2 + 49 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113337055862497) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18073199841 + ... + 18073206111.

It is an arithmetic number, because the mean of its divisors is an integer number (878738340480).

It is a 1-persistent number, because it is pandigital, but 2⋅113337055862496 = 226674111724992 is not.

Almost surely, 2^{113337055862496} is an apocalyptic number.

113337055862496 is a gapful number since it is divisible by the number (16) 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 113337055862496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168717761372160).

113337055862496 is an abundant number, since it is smaller than the sum of its proper divisors (224098466881824).

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

113337055862496 is a wasteful number, since it uses less digits than its factorization.

113337055862496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7775 (or 7761 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 113337055862496 in words is "one hundred thirteen trillion, three hundred thirty-seven billion, fifty-five million, eight hundred sixty-two thousand, four hundred ninety-six".