31628566673 has 24 divisors (see below), whose sum is σ = 35372272488. Its totient is φ = 28252224000.

The previous prime is 31628566649. The next prime is 31628566681. The reversal of 31628566673 is 37666582613.

It can be written as a sum of positive squares in 4 ways, for example, as 76860289 + 31551706384 = 8767^2 + 177628^2 .

It is not a de Polignac number, because 31628566673 - 2¹⁸ = 31628304529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31628566273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10132553 + ... + 10135673.

It is an arithmetic number, because the mean of its divisors is an integer number (1473844687).

Almost surely, 2^31628566673 is an apocalyptic number.

It is an amenable number.

31628566673 is a deficient number, since it is larger than the sum of its proper divisors (3743705815).

31628566673 is a wasteful number, since it uses less digits than its factorization.

31628566673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577 (or 4566 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 53.

The spelling of 31628566673 in words is "thirty-one billion, six hundred twenty-eight million, five hundred sixty-six thousand, six hundred seventy-three".