466896363698664 has 24 divisors (see below), whose sum is σ = 1264510985017410. Its totient is φ = 155632121232864.

The previous prime is 466896363698659. The next prime is 466896363698741.

466896363698664 is a `hidden beast` number, since 4 + 6 + 6 + 89 + 6 + 36 + 369 + 86 + 64 = 666.

466896363698664 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 381829498849764 + 85066864848900 = 19540458^2 + 9223170^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3242335858947 + ... + 3242335859090.

Almost surely, 2^{466896363698664} is an apocalyptic number.

It is an amenable number.

466896363698664 is an abundant number, since it is smaller than the sum of its proper divisors (797614621318746).

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

466896363698664 is a wasteful number, since it uses less digits than its factorization.

466896363698664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6484671718049 (or 6484671718042 counting only the distinct ones).

The product of its digits is 208971104256, while the sum is 90.

The spelling of 466896363698664 in words is "four hundred sixty-six trillion, eight hundred ninety-six billion, three hundred sixty-three million, six hundred ninety-eight thousand, six hundred sixty-four".