45210057984 has 1080 divisors, whose sum is σ = 177420344640. Its totient is φ = 11179524096.

The previous prime is 45210057973. The next prime is 45210058007. The reversal of 45210057984 is 48975001254.

45210057984 is a `hidden beast` number, since 452 + 100 + 5 + 7 + 98 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 466083024 + ... + 466083120.

Almost surely, 2^45210057984 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 45210057984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88710172320).

45210057984 is an abundant number, since it is smaller than the sum of its proper divisors (132210286656).

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

45210057984 is a wasteful number, since it uses less digits than its factorization.

45210057984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 45210057984 in words is "forty-five billion, two hundred ten million, fifty-seven thousand, nine hundred eighty-four".