45611112960 has 900 divisors, whose sum is σ = 192915062802. Its totient is φ = 10269794304.

The previous prime is 45611112959. The next prime is 45611113021. The reversal of 45611112960 is 6921111654.

45611112960 is a `hidden beast` number, since 4 + 5 + 611 + 11 + 29 + 6 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41050001664 + 4561111296 = 202608^2 + 67536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 680762847 + ... + 680762913.

Almost surely, 2^45611112960 is an apocalyptic number.

45611112960 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 45611112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96457531401).

45611112960 is an abundant number, since it is smaller than the sum of its proper divisors (147303949842).

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

45611112960 is an frugal number, since it uses more digits than its factorization.

45611112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Multiplying 45611112960 by its product of nonzero digits (12960), we get a square (591120023961600 = 24312960²).

45611112960 divided by its product of nonzero digits (12960) gives a square (3519376 = 1876²).

The spelling of 45611112960 in words is "forty-five billion, six hundred eleven million, one hundred twelve thousand, nine hundred sixty".