456374015000 has 160 divisors (see below), whose sum is σ = 1164381966000. Its totient is φ = 166977216000.

The previous prime is 456374014997. The next prime is 456374015033. The reversal of 456374015000 is 510473654.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2672174 + ... + 2837826.

Almost surely, 2^456374015000 is an apocalyptic number.

456374015000 is a gapful number since it is divisible by the number (40) 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 456374015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582190983000).

456374015000 is an abundant number, since it is smaller than the sum of its proper divisors (708007951000).

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

456374015000 is a wasteful number, since it uses less digits than its factorization.

456374015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165727 (or 165708 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

Adding to 456374015000 its reverse (510473654), we get a palindrome (456884488654).

The spelling of 456374015000 in words is "four hundred fifty-six billion, three hundred seventy-four million, fifteen thousand".