465619916564 has 36 divisors (see below), whose sum is σ = 895713044352. Its totient is φ = 211629319440.

The previous prime is 465619916563. The next prime is 465619916617.

465619916564 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 465619916497 and 465619916506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465619916563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8288579 + ... + 8344565.

Almost surely, 2^465619916564 is an apocalyptic number.

465619916564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465619916564 is a deficient number, since it is larger than the sum of its proper divisors (430093127788).

465619916564 is a wasteful number, since it uses less digits than its factorization.

465619916564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73196 (or 73183 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 62.

The spelling of 465619916564 in words is "four hundred sixty-five billion, six hundred nineteen million, nine hundred sixteen thousand, five hundred sixty-four".