45056417672 has 108 divisors (see below), whose sum is σ = 100341679095. Its totient is φ = 18911844000.

The previous prime is 45056417671. The next prime is 45056417689. The reversal of 45056417672 is 27671465054.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 22528208836 + 22528208836 = 150094^2 + 150094^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=150094.

It is not an unprimeable number, because it can be changed into a prime (45056417671) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 298386797 + ... + 298386947.

Almost surely, 2^45056417672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45056417672

45056417672 is an abundant number, since it is smaller than the sum of its proper divisors (55285261423).

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

45056417672 is an equidigital number, since it uses as much as digits as its factorization.

45056417672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 47.

The spelling of 45056417672 in words is "forty-five billion, fifty-six million, four hundred seventeen thousand, six hundred seventy-two".