45731600431 has 48 divisors (see below), whose sum is σ = 55434697920. Its totient is φ = 37521792000.

The previous prime is 45731600417. The next prime is 45731600491. The reversal of 45731600431 is 13400613754.

45731600431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-45731600431 is a prime.

It is a super-2 number, since 2×45731600431² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45731600491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9005065 + ... + 9010141.

It is an arithmetic number, because the mean of its divisors is an integer number (1154889540).

Almost surely, 2^45731600431 is an apocalyptic number.

45731600431 is a deficient number, since it is larger than the sum of its proper divisors (9703097489).

45731600431 is a wasteful number, since it uses less digits than its factorization.

45731600431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 45731600431 in words is "forty-five billion, seven hundred thirty-one million, six hundred thousand, four hundred thirty-one".