466125202521664 has 84 divisors (see below), whose sum is σ = 1076869302651804. Its totient is φ = 199603253154816.

The previous prime is 466125202521659. The next prime is 466125202521679.

466125202521664 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 174603453337600 + 291521749184064 = 13213760^2 + 17074008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57464319 + ... + 65072254.

Almost surely, 2^{466125202521664} is an apocalyptic number.

It is an amenable number.

466125202521664 is an abundant number, since it is smaller than the sum of its proper divisors (610744100130140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466125202521664 is a wasteful number, since it uses less digits than its factorization.

466125202521664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122537812 (or 122537795 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 466125202521664 in words is "four hundred sixty-six trillion, one hundred twenty-five billion, two hundred two million, five hundred twenty-one thousand, six hundred sixty-four".