564465564465 has 96 divisors (see below), whose sum is σ = 1005867023616. Its totient is φ = 270072000000.

The previous prime is 564465564401. The next prime is 564465564491.

564465564465 is nontrivially palindromic in base 10.

564465564465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 564465564465 - 2⁶ = 564465564401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 564465564399 and 564465564408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57006015 + ... + 57015915.

It is an arithmetic number, because the mean of its divisors is an integer number (10477781496).

Almost surely, 2^564465564465 is an apocalyptic number.

564465564465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

564465564465 is a deficient number, since it is larger than the sum of its proper divisors (441401459151).

564465564465 is a wasteful number, since it uses less digits than its factorization.

564465564465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10343 (or 10332 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 60.

The spelling of 564465564465 in words is "five hundred sixty-four billion, four hundred sixty-five million, five hundred sixty-four thousand, four hundred sixty-five".