564564404465465 has 32 divisors (see below), whose sum is σ = 689400697138560. Its totient is φ = 443720394432000.

The previous prime is 564564404465449. The next prime is 564564404465471.

564564404465465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 564564404465465 - 2⁴ = 564564404465449 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 564564404465395 and 564564404465404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152277790 + ... + 1152767640.

It is an arithmetic number, because the mean of its divisors is an integer number (21543771785580).

Almost surely, 2^{564564404465465} is an apocalyptic number.

It is an amenable number.

564564404465465 is a deficient number, since it is larger than the sum of its proper divisors (124836292673095).

564564404465465 is a wasteful number, since it uses less digits than its factorization.

564564404465465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494393.

The product of its (nonzero) digits is 3317760000, while the sum is 68.

The spelling of 564564404465465 in words is "five hundred sixty-four trillion, five hundred sixty-four billion, four hundred four million, four hundred sixty-five thousand, four hundred sixty-five".