31128472113984 has 896 divisors, whose sum is σ = 109406224834560. Its totient is φ = 8602119751680.

The previous prime is 31128472113979. The next prime is 31128472114007. The reversal of 31128472113984 is 48931127482113.

It is a happy number.

31128472113984 is a `hidden beast` number, since 3 + 1 + 128 + 472 + 11 + 39 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31128472113984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3686892867 + ... + 3686901309.

Almost surely, 2^{31128472113984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31128472113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54703112417280).

31128472113984 is an abundant number, since it is smaller than the sum of its proper divisors (78277752720576).

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

31128472113984 is an frugal number, since it uses more digits than its factorization.

31128472113984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8607 (or 8579 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 31128472113984 in words is "thirty-one trillion, one hundred twenty-eight billion, four hundred seventy-two million, one hundred thirteen thousand, nine hundred eighty-four".