456754651120344 has 32 divisors (see below), whose sum is σ = 1141904088295920. Its totient is φ = 152249222307456.

The previous prime is 456754651120307. The next prime is 456754651120349. The reversal of 456754651120344 is 443021156457654.

It is a super-2 number, since 2×456754651120344² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456754651120349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143901507 + ... + 147041330.

Almost surely, 2^{456754651120344} is an apocalyptic number.

It is an amenable number.

456754651120344 is an abundant number, since it is smaller than the sum of its proper divisors (685149437175576).

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

456754651120344 is a wasteful number, since it uses less digits than its factorization.

456754651120344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291008259 (or 291008255 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 57.

The spelling of 456754651120344 in words is "four hundred fifty-six trillion, seven hundred fifty-four billion, six hundred fifty-one million, one hundred twenty thousand, three hundred forty-four".