45807312096 has 324 divisors, whose sum is σ = 164093732712. Its totient is φ = 12080420352.

The previous prime is 45807312077. The next prime is 45807312143. The reversal of 45807312096 is 69021370854.

45807312096 is a `hidden beast` number, since 458 + 0 + 73 + 120 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2375325 + ... + 2394531.

It is an arithmetic number, because the mean of its divisors is an integer number (506462138).

It is a 1-persistent number, because it is pandigital, but 2⋅45807312096 = 91614624192 is not.

Almost surely, 2^45807312096 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 45807312096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82046866356).

45807312096 is an abundant number, since it is smaller than the sum of its proper divisors (118286420616).

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

45807312096 is a wasteful number, since it uses less digits than its factorization.

45807312096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19263 (or 19232 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 45807312096 in words is "forty-five billion, eight hundred seven million, three hundred twelve thousand, ninety-six".