564716505617465 has 16 divisors (see below), whose sum is σ = 687163772154000. Its totient is φ = 445441208712192.

The previous prime is 564716505617389. The next prime is 564716505617503.

It is a happy number.

564716505617465 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 121073403128896 + 443643102488569 = 11003336^2 + 21062837^2 .

It is a cyclic number.

It is not a de Polignac number, because 564716505617465 - 2¹⁶ = 564716505551929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 564716505617395 and 564716505617404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247686140 + ... + 249955709.

It is an arithmetic number, because the mean of its divisors is an integer number (42947735759625).

Almost surely, 2^{564716505617465} is an apocalyptic number.

It is an amenable number.

564716505617465 is a deficient number, since it is larger than the sum of its proper divisors (122447266536535).

564716505617465 is a wasteful number, since it uses less digits than its factorization.

564716505617465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497645036.

The product of its (nonzero) digits is 635040000, while the sum is 68.

The spelling of 564716505617465 in words is "five hundred sixty-four trillion, seven hundred sixteen billion, five hundred five million, six hundred seventeen thousand, four hundred sixty-five".