45573172416 has 504 divisors, whose sum is σ = 148730268960. Its totient is φ = 13279150080.

The previous prime is 45573172367. The next prime is 45573172459. The reversal of 45573172416 is 61427137554.

45573172416 is a `hidden beast` number, since 4 + 5 + 573 + 1 + 72 + 4 + 1 + 6 = 666.

45573172416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 272893165 + ... + 272893331.

It is an arithmetic number, because the mean of its divisors is an integer number (295099740).

Almost surely, 2^45573172416 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 45573172416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74365134480).

45573172416 is an abundant number, since it is smaller than the sum of its proper divisors (103157096544).

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

45573172416 is a wasteful number, since it uses less digits than its factorization.

45573172416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 249 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 45573172416 in words is "forty-five billion, five hundred seventy-three million, one hundred seventy-two thousand, four hundred sixteen".