113665961707776 has 81 divisors (see below), whose sum is σ = 327728464923769. Its totient is φ = 37888483319808.

The previous prime is 113665961707759. The next prime is 113665961707813. The reversal of 113665961707776 is 677707169566311.

The square root of 113665961707776 is 10661424.

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

113665961707776 is a `hidden beast` number, since 1 + 1 + 366 + 5 + 9 + 61 + 70 + 77 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98366724000000 + 15299237707776 = 9918000^2 + 3911424^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 511637296 + ... + 511859408.

Almost surely, 2^{113665961707776} is an apocalyptic number.

113665961707776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113665961707776 is the 10661424-th square number.

It is an amenable number.

113665961707776 is an abundant number, since it is smaller than the sum of its proper divisors (214062503215993).

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

113665961707776 is an frugal number, since it uses more digits than its factorization.

113665961707776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444248 (or 222118 counting only the distinct ones).

The product of its (nonzero) digits is 420078960, while the sum is 72.

The spelling of 113665961707776 in words is "one hundred thirteen trillion, six hundred sixty-five billion, nine hundred sixty-one million, seven hundred seven thousand, seven hundred seventy-six".