113664177713304 has 64 divisors (see below), whose sum is σ = 315746993126400. Its totient is φ = 37886479300512.

The previous prime is 113664177713299. The next prime is 113664177713309. The reversal of 113664177713304 is 403317771466311.

113664177713304 is a `hidden beast` number, since 1 + 13 + 6 + 64 + 177 + 71 + 330 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (113664177713299) and next prime (113664177713309).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113664177713309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5774272 + ... + 16145295.

It is an arithmetic number, because the mean of its divisors is an integer number (4933546767600).

Almost surely, 2^{113664177713304} is an apocalyptic number.

It is an amenable number.

113664177713304 is an abundant number, since it is smaller than the sum of its proper divisors (202082815413096).

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

113664177713304 is a wasteful number, since it uses less digits than its factorization.

113664177713304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21943589 (or 21943579 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 113664177713304 in words is "one hundred thirteen trillion, six hundred sixty-four billion, one hundred seventy-seven million, seven hundred thirteen thousand, three hundred four".