638132564224 has 27 divisors (see below), whose sum is σ = 1273797936327. Its totient is φ = 319059891456.

The previous prime is 638132564177. The next prime is 638132564269. The reversal of 638132564224 is 422465231836.

The square root of 638132564224 is 798832.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12756349 + ... + 12806275.

Almost surely, 2^638132564224 is an apocalyptic number.

638132564224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

638132564224 is the 798832-nd square number.

It is an amenable number.

638132564224 is a deficient number, since it is larger than the sum of its proper divisors (635665372103).

638132564224 is an frugal number, since it uses more digits than its factorization.

638132564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99870 (or 49929 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 46.

The spelling of 638132564224 in words is "six hundred thirty-eight billion, one hundred thirty-two million, five hundred sixty-four thousand, two hundred twenty-four".