564564606465465 has 24 divisors (see below), whose sum is σ = 1005026722864008. Its totient is φ = 292963255246080.

The previous prime is 564564606465451. The next prime is 564564606465493.

564564606465465 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 6 + 4 + 606 + 4 + 6 + 5 + 4 + 6 + 5 = 666.

564564606465465 is nontrivially palindromic in base 10.

564564606465465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 327804929787456 + 236759676678009 = 18105384^2 + 15386997^2 .

It is not a de Polignac number, because 564564606465465 - 2⁴ = 564564606465449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 564564606465393 and 564564606465402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169538919196 + ... + 169538922525.

It is an arithmetic number, because the mean of its divisors is an integer number (41876113452667).

Almost surely, 2^{564564606465465} is an apocalyptic number.

It is an amenable number.

564564606465465 is a deficient number, since it is larger than the sum of its proper divisors (440462116398543).

564564606465465 is a wasteful number, since it uses less digits than its factorization.

564564606465465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339077841769 (or 339077841766 counting only the distinct ones).

The product of its (nonzero) digits is 7464960000, while the sum is 72.

The spelling of 564564606465465 in words is "five hundred sixty-four trillion, five hundred sixty-four billion, six hundred six million, four hundred sixty-five thousand, four hundred sixty-five".