31372705845 has 96 divisors (see below), whose sum is σ = 62558207712. Its totient is φ = 14407335936.

The previous prime is 31372705841. The next prime is 31372705883. The reversal of 31372705845 is 54850727313.

31372705845 is a `hidden beast` number, since 31 + 37 + 2 + 7 + 0 + 584 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 8813266641 + 22559439204 = 93879^2 + 150198^2 .

It is not a de Polignac number, because 31372705845 - 2² = 31372705841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 31372705845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31372705841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1109827 + ... + 1137743.

It is an arithmetic number, because the mean of its divisors is an integer number (651647997).

Almost surely, 2^31372705845 is an apocalyptic number.

It is an amenable number.

31372705845 is a deficient number, since it is larger than the sum of its proper divisors (31185501867).

31372705845 is a wasteful number, since it uses less digits than its factorization.

31372705845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28071 (or 28068 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 31372705845 in words is "thirty-one billion, three hundred seventy-two million, seven hundred five thousand, eight hundred forty-five".