113117680575 has 240 divisors, whose sum is σ = 228967041600. Its totient is φ = 55031961600.

The previous prime is 113117680561. The next prime is 113117680583. The reversal of 113117680575 is 575086711311.

113117680575 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 1 + 76 + 8 + 0 + 575 = 666.

It is not a de Polignac number, because 113117680575 - 2⁷ = 113117680447 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 113117680575.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 120209605 + ... + 120210545.

It is an arithmetic number, because the mean of its divisors is an integer number (954029340).

Almost surely, 2^113117680575 is an apocalyptic number.

113117680575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

113117680575 is an abundant number, since it is smaller than the sum of its proper divisors (115849361025).

113117680575 is a wasteful number, since it uses less digits than its factorization.

113117680575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 113117680575 in words is "one hundred thirteen billion, one hundred seventeen million, six hundred eighty thousand, five hundred seventy-five".