45131807616 has 256 divisors, whose sum is σ = 139417190400. Its totient is φ = 12669696000.

The previous prime is 45131807573. The next prime is 45131807647. The reversal of 45131807616 is 61670813154.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60095241 + ... + 60095991.

It is an arithmetic number, because the mean of its divisors is an integer number (544598400).

Almost surely, 2^45131807616 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 45131807616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69708595200).

45131807616 is an abundant number, since it is smaller than the sum of its proper divisors (94285382784).

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

45131807616 is a wasteful number, since it uses less digits than its factorization.

45131807616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 45131807616 in words is "forty-five billion, one hundred thirty-one million, eight hundred seven thousand, six hundred sixteen".