465516383615564 has 48 divisors (see below), whose sum is σ = 858102715478400. Its totient is φ = 220360547039616.

The previous prime is 465516383615531. The next prime is 465516383615567.

465516383615564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465516383615494 and 465516383615503.

It is not an unprimeable number, because it can be changed into a prime (465516383615567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5168167232 + ... + 5168257304.

It is an arithmetic number, because the mean of its divisors is an integer number (17877139905800).

Almost surely, 2^{465516383615564} is an apocalyptic number.

It is an amenable number.

465516383615564 is a deficient number, since it is larger than the sum of its proper divisors (392586331862836).

465516383615564 is a wasteful number, since it uses less digits than its factorization.

465516383615564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134742 (or 134740 counting only the distinct ones).

The product of its digits is 933120000, while the sum is 68.

The spelling of 465516383615564 in words is "four hundred sixty-five trillion, five hundred sixteen billion, three hundred eighty-three million, six hundred fifteen thousand, five hundred sixty-four".