115891739657568 has 144 divisors (see below), whose sum is σ = 393204116838960. Its totient is φ = 33111925604352.

The previous prime is 115891739657513. The next prime is 115891739657579. The reversal of 115891739657568 is 865756937198511.

115891739657568 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 9 + 1 + 7 + 39 + 6 + 575 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1368671521 + ... + 1368756192.

It is an arithmetic number, because the mean of its divisors is an integer number (2730584144715).

Almost surely, 2^{115891739657568} is an apocalyptic number.

115891739657568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

115891739657568 is an abundant number, since it is smaller than the sum of its proper divisors (277312377181392).

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

115891739657568 is a wasteful number, since it uses less digits than its factorization.

115891739657568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737427746 (or 2737427725 counting only the distinct ones).

The product of its digits is 3429216000, while the sum is 81.

The spelling of 115891739657568 in words is "one hundred fifteen trillion, eight hundred ninety-one billion, seven hundred thirty-nine million, six hundred fifty-seven thousand, five hundred sixty-eight".