45401313456 has 40 divisors (see below), whose sum is σ = 130318586160. Its totient is φ = 15133771008.

The previous prime is 45401313437. The next prime is 45401313481. The reversal of 45401313456 is 65431310454.

45401313456 is a `hidden beast` number, since 4 + 540 + 1 + 31 + 34 + 56 = 666.

It is a super-2 number, since 2×45401313456² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45401313456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52547385 + ... + 52548248.

It is an arithmetic number, because the mean of its divisors is an integer number (3257964654).

Almost surely, 2^45401313456 is an apocalyptic number.

It is an amenable number.

45401313456 is an abundant number, since it is smaller than the sum of its proper divisors (84917272704).

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

45401313456 is a wasteful number, since it uses less digits than its factorization.

45401313456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105095650 (or 105095638 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 45401313456 in words is "forty-five billion, four hundred one million, three hundred thirteen thousand, four hundred fifty-six".