45115128576 has 360 divisors, whose sum is σ = 156071336960. Its totient is φ = 12694910976.

The previous prime is 45115128559. The next prime is 45115128589. The reversal of 45115128576 is 67582151154.

45115128576 is a `hidden beast` number, since 4 + 5 + 1 + 1 + 51 + 28 + 576 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9722865 + ... + 9727503.

Almost surely, 2^45115128576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45115128576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78035668480).

45115128576 is an abundant number, since it is smaller than the sum of its proper divisors (110956208384).

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

45115128576 is an equidigital number, since it uses as much as digits as its factorization.

45115128576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4741 (or 4718 counting only the distinct ones).

The product of its digits is 336000, while the sum is 45.

The spelling of 45115128576 in words is "forty-five billion, one hundred fifteen million, one hundred twenty-eight thousand, five hundred seventy-six".