113564308433184 has 108 divisors (see below), whose sum is σ = 375674788211814. Its totient is φ = 32446945262592.

The previous prime is 113564308433011. The next prime is 113564308433189. The reversal of 113564308433184 is 481334803465311.

113564308433184 is a `hidden beast` number, since 1 + 1 + 3 + 56 + 430 + 84 + 3 + 3 + 1 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98622774810000 + 14941533623184 = 9930900^2 + 3865428^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 113564308433184.

It is not an unprimeable number, because it can be changed into a prime (113564308433189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4023664617 + ... + 4023692840.

Almost surely, 2^{113564308433184} is an apocalyptic number.

113564308433184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

113564308433184 is an abundant number, since it is smaller than the sum of its proper divisors (262110479778630).

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

113564308433184 is a wasteful number, since it uses less digits than its factorization.

113564308433184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8047357487 (or 8047357469 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 113564308433184 in words is "one hundred thirteen trillion, five hundred sixty-four billion, three hundred eight million, four hundred thirty-three thousand, one hundred eighty-four".