45265966564 has 135 divisors (see below), whose sum is σ = 100670788617. Its totient is φ = 17800185312.

The previous prime is 45265966541. The next prime is 45265966579. The reversal of 45265966564 is 46566956254.

The square root of 45265966564 is 212758.

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

45265966564 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., 6696148900 + 38569817664 = 81830^2 + 196392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45265966499 and 45265966508.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 271053609 + ... + 271053775.

Almost surely, 2^45265966564 is an apocalyptic number.

45265966564 is the 212758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45265966564

45265966564 is an abundant number, since it is smaller than the sum of its proper divisors (55404822053).

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

45265966564 is an equidigital number, since it uses as much as digits as its factorization.

45265966564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 189 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 58.

The spelling of 45265966564 in words is "forty-five billion, two hundred sixty-five million, nine hundred sixty-six thousand, five hundred sixty-four".