45389856960 has 672 divisors, whose sum is σ = 190575590400. Its totient is φ = 9684541440.

The previous prime is 45389856901. The next prime is 45389857021. The reversal of 45389856960 is 6965898354.

45389856960 is a `hidden beast` number, since 4 + 5 + 3 + 8 + 9 + 8 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×45389856960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 27195006 + ... + 27196674.

Almost surely, 2^45389856960 is an apocalyptic number.

45389856960 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 45389856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95287795200).

45389856960 is an abundant number, since it is smaller than the sum of its proper divisors (145185733440).

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

45389856960 is a wasteful number, since it uses less digits than its factorization.

45389856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 45389856960 in words is "forty-five billion, three hundred eighty-nine million, eight hundred fifty-six thousand, nine hundred sixty".