31128236313984 has 144 divisors (see below), whose sum is σ = 95153793242820. Its totient is φ = 9765721092096.

The previous prime is 31128236313983. The next prime is 31128236313997. The reversal of 31128236313984 is 48931363282113.

31128236313984 is a `hidden beast` number, since 3 + 1 + 1 + 2 + 8 + 236 + 313 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31128236313984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31128236313983) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46416274 + ... + 47082129.

Almost surely, 2^{31128236313984} is an apocalyptic number.

31128236313984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31128236313984 is an abundant number, since it is smaller than the sum of its proper divisors (64025556928836).

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

31128236313984 is a wasteful number, since it uses less digits than its factorization.

31128236313984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93498457 (or 93498425 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 31128236313984 in words is "thirty-one trillion, one hundred twenty-eight billion, two hundred thirty-six million, three hundred thirteen thousand, nine hundred eighty-four".