45061056400 has 30 divisors (see below), whose sum is σ = 108259188962. Its totient is φ = 18024422400.

The previous prime is 45061056379. The next prime is 45061056433. The reversal of 45061056400 is 465016054.

It can be written as a sum of positive squares in 3 ways, for example, as 206899456 + 44854156944 = 14384^2 + 211788^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 56325921 + ... + 56326720.

Almost surely, 2^45061056400 is an apocalyptic number.

45061056400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45061056400 is an abundant number, since it is smaller than the sum of its proper divisors (63198132562).

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

45061056400 is a wasteful number, since it uses less digits than its factorization.

45061056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112652659 (or 112652648 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 45061056400 in words is "forty-five billion, sixty-one million, fifty-six thousand, four hundred".