31379288164 has 27 divisors (see below), whose sum is σ = 63884314137. Its totient is φ = 13447203504.

The previous prime is 31379288147. The next prime is 31379288167. The reversal of 31379288164 is 46188297313.

The square root of 31379288164 is 177142.

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

It can be written as a sum of positive squares in only one way, i.e., 123876900 + 31255411264 = 11130^2 + 176792^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (31379288167) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2473662 + ... + 2486314.

Almost surely, 2^31379288164 is an apocalyptic number.

31379288164 is the 177142-nd square number.

It is an amenable number.

31379288164 is an abundant number, since it is smaller than the sum of its proper divisors (32505025973).

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

31379288164 is an frugal number, since it uses more digits than its factorization.

31379288164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25324 (or 12662 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

It can be divided in two parts, 313792 and 88164, that added together give a square (401956 = 634²).

The spelling of 31379288164 in words is "thirty-one billion, three hundred seventy-nine million, two hundred eighty-eight thousand, one hundred sixty-four".