32385295692864 has 105 divisors (see below), whose sum is σ = 96001376434887. Its totient is φ = 10794961984896.

The previous prime is 32385295692851. The next prime is 32385295692887. The reversal of 32385295692864 is 46829659258323.

The square root of 32385295692864 is 5690808.

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

32385295692864 is a `hidden beast` number, since 3 + 2 + 3 + 8 + 52 + 9 + 569 + 2 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×32385295692864² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 32385295692792 and 32385295692801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 409698657 + ... + 409777695.

Almost surely, 2^{32385295692864} is an apocalyptic number.

32385295692864 is the 5690808-th square number.

It is an amenable number.

32385295692864 is an abundant number, since it is smaller than the sum of its proper divisors (63616080742023).

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

32385295692864 is an frugal number, since it uses more digits than its factorization.

32385295692864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158102 (or 79044 counting only the distinct ones).

The product of its digits is 1343692800, while the sum is 72.

The spelling of 32385295692864 in words is "thirty-two trillion, three hundred eighty-five billion, two hundred ninety-five million, six hundred ninety-two thousand, eight hundred sixty-four".