462315513264 has 640 divisors, whose sum is σ = 1455458844672. Its totient is φ = 124853944320.

The previous prime is 462315513251. The next prime is 462315513269.

462315513264 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (462315513269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3640279569 + ... + 3640279695.

Almost surely, 2^462315513264 is an apocalyptic number.

462315513264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462315513264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727729422336).

462315513264 is an abundant number, since it is smaller than the sum of its proper divisors (993143331408).

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

462315513264 is a wasteful number, since it uses less digits than its factorization.

462315513264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 462315 and 513264, that added together give a palindrome (975579).

The spelling of 462315513264 in words is "four hundred sixty-two billion, three hundred fifteen million, five hundred thirteen thousand, two hundred sixty-four".