564265484562465 has 48 divisors (see below), whose sum is σ = 1119594697423488. Its totient is φ = 257531864502528.

The previous prime is 564265484562443. The next prime is 564265484562499.

564265484562465 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 6 + 54 + 8 + 4 + 562 + 4 + 6 + 5 = 666.

564265484562465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564265484562465 - 2⁶ = 564265484562401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 564265484562393 and 564265484562402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451441787 + ... + 1451830496.

It is an arithmetic number, because the mean of its divisors is an integer number (23324889529656).

Almost surely, 2^{564265484562465} is an apocalyptic number.

It is an amenable number.

564265484562465 is a deficient number, since it is larger than the sum of its proper divisors (555329212861023).

564265484562465 is a wasteful number, since it uses less digits than its factorization.

564265484562465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903272918 (or 2903272915 counting only the distinct ones).

The product of its digits is 6635520000, while the sum is 72.

The spelling of 564265484562465 in words is "five hundred sixty-four trillion, two hundred sixty-five billion, four hundred eighty-four million, five hundred sixty-two thousand, four hundred sixty-five".