566088195441664 has 99 divisors (see below), whose sum is σ = 1316390832423453. Its totient is φ = 242606942527488.

The previous prime is 566088195441661. The next prime is 566088195441677. The reversal of 566088195441664 is 466144591880665.

The square root of 566088195441664 is 23792608.

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., 74392695014400 + 491695500427264 = 8625120^2 + 22174208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (566088195441661) 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, 5329491084 + ... + 5329597300.

Almost surely, 2^{566088195441664} is an apocalyptic number.

566088195441664 is the 23792608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566088195441664

566088195441664 is an abundant number, since it is smaller than the sum of its proper divisors (750302636981789).

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

566088195441664 is an frugal number, since it uses more digits than its factorization.

566088195441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212468 (or 106226 counting only the distinct ones).

The product of its (nonzero) digits is 1194393600, while the sum is 73.

The spelling of 566088195441664 in words is "five hundred sixty-six trillion, eighty-eight billion, one hundred ninety-five million, four hundred forty-one thousand, six hundred sixty-four".