45907413888 has 256 divisors, whose sum is σ = 145091980800. Its totient is φ = 12582936576.

The previous prime is 45907413847. The next prime is 45907413941. The reversal of 45907413888 is 88831470954.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12704370 + ... + 12707982.

It is an arithmetic number, because the mean of its divisors is an integer number (566765550).

Almost surely, 2^45907413888 is an apocalyptic number.

45907413888 is a gapful number since it is divisible by the number (48) 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 45907413888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72545990400).

45907413888 is an abundant number, since it is smaller than the sum of its proper divisors (99184566912).

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

45907413888 is a wasteful number, since it uses less digits than its factorization.

45907413888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 45907413888 in words is "forty-five billion, nine hundred seven million, four hundred thirteen thousand, eight hundred eighty-eight".