465166661564 has 48 divisors (see below), whose sum is σ = 909895472640. Its totient is φ = 206266325760.

The previous prime is 465166661513. The next prime is 465166661579.

465166661564 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268532 + ... + 1001220.

It is an arithmetic number, because the mean of its divisors is an integer number (18956155680).

Almost surely, 2^465166661564 is an apocalyptic number.

465166661564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465166661564 is a deficient number, since it is larger than the sum of its proper divisors (444728811076).

465166661564 is a wasteful number, since it uses less digits than its factorization.

465166661564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733058 (or 733056 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 56.

The spelling of 465166661564 in words is "four hundred sixty-five billion, one hundred sixty-six million, six hundred sixty-one thousand, five hundred sixty-four".