465584485564 has 48 divisors (see below), whose sum is σ = 897786925056. Its totient is φ = 209509416000.

The previous prime is 465584485549. The next prime is 465584485603.

465584485564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465584485496 and 465584485505.

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, 1827109 + ... + 2066275.

It is an arithmetic number, because the mean of its divisors is an integer number (18703894272).

Almost surely, 2^465584485564 is an apocalyptic number.

465584485564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465584485564 is a deficient number, since it is larger than the sum of its proper divisors (432202439492).

465584485564 is a wasteful number, since it uses less digits than its factorization.

465584485564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239626 (or 239624 counting only the distinct ones).

The product of its digits is 368640000, while the sum is 64.

The spelling of 465584485564 in words is "four hundred sixty-five billion, five hundred eighty-four million, four hundred eighty-five thousand, five hundred sixty-four".