1314642564 has 27 divisors (see below), whose sum is σ = 3323674263. Its totient is φ = 438141672.

The previous prime is 1314642557. The next prime is 1314642607. The reversal of 1314642564 is 4652464131.

The square root of 1314642564 is 36258.

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

1314642564 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 642 + 5 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 214527 + ... + 220569.

Almost surely, 2^1314642564 is an apocalyptic number.

1314642564 is the 36258-th square number.

It is an amenable number.

1314642564 is an abundant number, since it is smaller than the sum of its proper divisors (2009031699).

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

1314642564 is an frugal number, since it uses more digits than its factorization.

1314642564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12096 (or 6048 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The cubic root of 1314642564 is about 1095.4752325122.

Multiplying 1314642564 by its sum of digits (36), we get a square (47327132304 = 217548²).

1314642564 divided by its sum of digits (36) gives a square (36517849 = 6043²).

The spelling of 1314642564 in words is "one billion, three hundred fourteen million, six hundred forty-two thousand, five hundred sixty-four".