113102714520576 has 891 divisors, whose sum is σ = 373759519360773. Its totient is φ = 34181663662080.

The previous prime is 113102714520559. The next prime is 113102714520617. The reversal of 113102714520576 is 675025417201311.

The square root of 113102714520576 is 10634976.

It is a perfect power (a square), and thus also a powerful number.

113102714520576 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 2 + 71 + 4 + 5 + 2 + 0 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61478144640000 + 51624569880576 = 7840800^2 + 7185024^2 .

It is a tau number, because it is divible by the number of its divisors (891).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 303224435526 + ... + 303224435898.

Almost surely, 2^{113102714520576} is an apocalyptic number.

113102714520576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113102714520576 is the 10634976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113102714520576

113102714520576 is an abundant number, since it is smaller than the sum of its proper divisors (260656804840197).

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

113102714520576 is an frugal number, since it uses more digits than its factorization.

113102714520576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 113102714520576 in words is "one hundred thirteen trillion, one hundred two billion, seven hundred fourteen million, five hundred twenty thousand, five hundred seventy-six".