631004632164 has 45 divisors (see below), whose sum is σ = 1649608131171. Its totient is φ = 210330111240.

The previous prime is 631004632127. The next prime is 631004632169. The reversal of 631004632164 is 461236400136.

The square root of 631004632164 is 794358.

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

631004632164 is a `hidden beast` number, since 6 + 3 + 1 + 0 + 0 + 4 + 632 + 16 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (631004632169) by changing a digit.

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, 14276379 + ... + 14320509.

Almost surely, 2^631004632164 is an apocalyptic number.

631004632164 is the 794358-th square number.

It is an amenable number.

631004632164 is an abundant number, since it is smaller than the sum of its proper divisors (1018603499007).

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

631004632164 is an frugal number, since it uses more digits than its factorization.

631004632164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88278 (or 44136 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Multiplying 631004632164 by its sum of digits (36), we get a square (22716166757904 = 4766148²).

631004632164 divided by its sum of digits (36) gives a square (17527906449 = 132393²).

The spelling of 631004632164 in words is "six hundred thirty-one billion, four million, six hundred thirty-two thousand, one hundred sixty-four".