115662568464 has 315 divisors, whose sum is σ = 348491703567. Its totient is φ = 37170695232.

The previous prime is 115662568447. The next prime is 115662568477. The reversal of 115662568464 is 464865266511.

The square root of 115662568464 is 340092.

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

115662568464 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 625 + 6 + 8 + 4 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 115662568464.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 1726306959 + ... + 1726307025.

Almost surely, 2^115662568464 is an apocalyptic number.

115662568464 is the 340092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115662568464

115662568464 is an abundant number, since it is smaller than the sum of its proper divisors (232829135103).

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

115662568464 is an frugal number, since it uses more digits than its factorization.

115662568464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 119 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 115662568464 in words is "one hundred fifteen billion, six hundred sixty-two million, five hundred sixty-eight thousand, four hundred sixty-four".