45587684160 has 336 divisors, whose sum is σ = 166896288000. Its totient is φ = 11381686272.

The previous prime is 45587684117. The next prime is 45587684183. The reversal of 45587684160 is 6148678554.

45587684160 is a `hidden beast` number, since 4 + 558 + 7 + 6 + 84 + 1 + 6 + 0 = 666.

45587684160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45587684097 and 45587684106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9740701 + ... + 9745379.

Almost surely, 2^45587684160 is an apocalyptic number.

45587684160 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 45587684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83448144000).

45587684160 is an abundant number, since it is smaller than the sum of its proper divisors (121308603840).

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

45587684160 is a wasteful number, since it uses less digits than its factorization.

45587684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4918 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 45587684160 in words is "forty-five billion, five hundred eighty-seven million, six hundred eighty-four thousand, one hundred sixty".