566456432689 has 27 divisors (see below), whose sum is σ = 667876423851. Its totient is φ = 479035851840.

The previous prime is 566456432657. The next prime is 566456432701. The reversal of 566456432689 is 986234654665.

The square root of 566456432689 is 752633.

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

566456432689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 96244514289 + 470211918400 = 310233^2 + 685720^2 .

It is not a de Polignac number, because 566456432689 - 2⁵ = 566456432657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 566456432689.

It is not an unprimeable number, because it can be changed into a prime (566456432389) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 416205369 + ... + 416206729.

Almost surely, 2^566456432689 is an apocalyptic number.

566456432689 is the 752633-rd square number.

566456432689 is the 376317-th centered octagonal number.

It is an amenable number.

566456432689 is a deficient number, since it is larger than the sum of its proper divisors (101419991162).

566456432689 is an frugal number, since it uses more digits than its factorization.

566456432689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 1447 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 64.

Multiplying 566456432689 by its sum of digits (64), we get a square (36253211692096 = 6021064²).

The spelling of 566456432689 in words is "five hundred sixty-six billion, four hundred fifty-six million, four hundred thirty-two thousand, six hundred eighty-nine".