45014232464000 has 64 divisors (see below), whose sum is σ = 111916635503400. Its totient is φ = 18005692979200.

The previous prime is 45014232463951. The next prime is 45014232464021. The reversal of 45014232464000 is 46423241054.

It can be written as a sum of positive squares in 4 ways, for example, as 1772455544896 + 43241776919104 = 1331336^2 + 6575848^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×45014232464000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1406678765 + ... + 1406710764.

Almost surely, 2^{45014232464000} is an apocalyptic number.

45014232464000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45014232464000 is an abundant number, since it is smaller than the sum of its proper divisors (66902403039400).

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

45014232464000 is an equidigital number, since it uses as much as digits as its factorization.

45014232464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813389558 (or 2813389536 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 45014232464000 in words is "forty-five trillion, fourteen billion, two hundred thirty-two million, four hundred sixty-four thousand".