564585585465 has 64 divisors (see below), whose sum is σ = 989329904640. Its totient is φ = 272664311040.

The previous prime is 564585585439. The next prime is 564585585467.

564585585465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564585585465 - 2⁵ = 564585585433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 564585585396 and 564585585405.

It is not an unprimeable number, because it can be changed into a prime (564585585467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104802502 + ... + 104807888.

It is an arithmetic number, because the mean of its divisors is an integer number (15458279760).

Almost surely, 2^564585585465 is an apocalyptic number.

564585585465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564585585465 is a deficient number, since it is larger than the sum of its proper divisors (424744319175).

564585585465 is a wasteful number, since it uses less digits than its factorization.

564585585465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7782.

The product of its digits is 576000000, while the sum is 66.

The spelling of 564585585465 in words is "five hundred sixty-four billion, five hundred eighty-five million, five hundred eighty-five thousand, four hundred sixty-five".