45857848320 has 264 divisors, whose sum is σ = 159333894720. Its totient is φ = 12195102720.

The previous prime is 45857848303. The next prime is 45857848349. The reversal of 45857848320 is 2384875854.

45857848320 is a `hidden beast` number, since 4 + 5 + 8 + 578 + 48 + 3 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19859326 + ... + 19861634.

It is an arithmetic number, because the mean of its divisors is an integer number (603537480).

Almost surely, 2^45857848320 is an apocalyptic number.

45857848320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45857848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79666947360).

45857848320 is an abundant number, since it is smaller than the sum of its proper divisors (113476046400).

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

45857848320 is a wasteful number, since it uses less digits than its factorization.

45857848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 45857848320 in words is "forty-five billion, eight hundred fifty-seven million, eight hundred forty-eight thousand, three hundred twenty".