564401343104465 has 8 divisors (see below), whose sum is σ = 717121706532840. Its totient is φ = 424961011278592.

The previous prime is 564401343104413. The next prime is 564401343104479.

564401343104465 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 6168671309761 + 558232671794704 = 2483681^2 + 23626948^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 564401343104465 - 2¹⁴ = 564401343088081 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3320007900530 + ... + 3320007900699.

It is an arithmetic number, because the mean of its divisors is an integer number (89640213316605).

Almost surely, 2^{564401343104465} is an apocalyptic number.

It is an amenable number.

564401343104465 is a deficient number, since it is larger than the sum of its proper divisors (152720363428375).

564401343104465 is a wasteful number, since it uses less digits than its factorization.

564401343104465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6640015801251.

The product of its (nonzero) digits is 8294400, while the sum is 50.

The spelling of 564401343104465 in words is "five hundred sixty-four trillion, four hundred one billion, three hundred forty-three million, one hundred four thousand, four hundred sixty-five".