466523325664 has 48 divisors (see below), whose sum is σ = 1005689850480. Its totient is φ = 211267701760.

The previous prime is 466523325643. The next prime is 466523325739.

466523325664 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2368789 + ... + 2558164.

It is an arithmetic number, because the mean of its divisors is an integer number (20951871885).

Almost surely, 2^466523325664 is an apocalyptic number.

466523325664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

466523325664 is an abundant number, since it is smaller than the sum of its proper divisors (539166524816).

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

466523325664 is a wasteful number, since it uses less digits than its factorization.

466523325664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4927243 (or 4927235 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 52.

The spelling of 466523325664 in words is "four hundred sixty-six billion, five hundred twenty-three million, three hundred twenty-five thousand, six hundred sixty-four".