465796505697564 has 96 divisors (see below), whose sum is σ = 1128521651991552. Its totient is φ = 149425483680000.

The previous prime is 465796505697557. The next prime is 465796505697587.

It is a happy number.

465796505697564 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 31 ways as a sum of consecutive naturals, for example, 111516859 + ... + 115618349.

It is an arithmetic number, because the mean of its divisors is an integer number (11755433874912).

Almost surely, 2^{465796505697564} is an apocalyptic number.

It is an amenable number.

465796505697564 is an abundant number, since it is smaller than the sum of its proper divisors (662725146293988).

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

465796505697564 is a wasteful number, since it uses less digits than its factorization.

465796505697564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104907 (or 4104905 counting only the distinct ones).

The product of its (nonzero) digits is 51438240000, while the sum is 84.

The spelling of 465796505697564 in words is "four hundred sixty-five trillion, seven hundred ninety-six billion, five hundred five million, six hundred ninety-seven thousand, five hundred sixty-four".