465413314564 has 24 divisors (see below), whose sum is σ = 888641560800. Its totient is φ = 211521689280.

The previous prime is 465413314559. The next prime is 465413314567.

465413314564 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (465413314567) 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 7 ways as a sum of consecutive naturals, for example, 428194 + ... + 1055545.

It is an arithmetic number, because the mean of its divisors is an integer number (37026731700).

Almost surely, 2^465413314564 is an apocalyptic number.

465413314564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465413314564 is a deficient number, since it is larger than the sum of its proper divisors (423228246236).

465413314564 is a wasteful number, since it uses less digits than its factorization.

465413314564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490883 (or 1490881 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 46.

It can be divided in two parts, 465413 and 314564, that added together give a palindrome (779977).

The spelling of 465413314564 in words is "four hundred sixty-five billion, four hundred thirteen million, three hundred fourteen thousand, five hundred sixty-four".