31944628125 has 288 divisors, whose sum is σ = 65515806720. Its totient is φ = 15503400000.

The previous prime is 31944628103. The next prime is 31944628127. The reversal of 31944628125 is 52182644913.

31944628125 is a `hidden beast` number, since 3 + 1 + 9 + 4 + 4 + 628 + 12 + 5 = 666.

It is not a de Polignac number, because 31944628125 - 2¹⁰ = 31944627101 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31944628127) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 541434346 + ... + 541434404.

It is an arithmetic number, because the mean of its divisors is an integer number (227485440).

Almost surely, 2^31944628125 is an apocalyptic number.

It is an amenable number.

31944628125 is an abundant number, since it is smaller than the sum of its proper divisors (33571178595).

31944628125 is an frugal number, since it uses more digits than its factorization.

31944628125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 121 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 31944628125 in words is "thirty-one billion, nine hundred forty-four million, six hundred twenty-eight thousand, one hundred twenty-five".