45585389160 has 384 divisors, whose sum is σ = 161973302400. Its totient is φ = 11073208320.

The previous prime is 45585389153. The next prime is 45585389191. The reversal of 45585389160 is 6198358554.

45585389160 is a `hidden beast` number, since 4 + 558 + 5 + 3 + 89 + 1 + 6 + 0 = 666.

45585389160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45585389097 and 45585389106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34877227 + ... + 34878533.

It is an arithmetic number, because the mean of its divisors is an integer number (421805475).

Almost surely, 2^45585389160 is an apocalyptic number.

45585389160 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 45585389160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80986651200).

45585389160 is an abundant number, since it is smaller than the sum of its proper divisors (116387913240).

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

45585389160 is a wasteful number, since it uses less digits than its factorization.

45585389160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 45585389160 in words is "forty-five billion, five hundred eighty-five million, three hundred eighty-nine thousand, one hundred sixty".