466546645664 has 48 divisors (see below), whose sum is σ = 1045580840640. Its totient is φ = 202846364160.

The previous prime is 466546645651. The next prime is 466546645717.

466546645664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 466546645597 and 466546645606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28805309 + ... + 28821500.

It is an arithmetic number, because the mean of its divisors is an integer number (21782934180).

Almost surely, 2^466546645664 is an apocalyptic number.

466546645664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

466546645664 is an abundant number, since it is smaller than the sum of its proper divisors (579034194976).

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

466546645664 is a wasteful number, since it uses less digits than its factorization.

466546645664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57626853 (or 57626845 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 62.

The spelling of 466546645664 in words is "four hundred sixty-six billion, five hundred forty-six million, six hundred forty-five thousand, six hundred sixty-four".