31383879816528 has 120 divisors (see below), whose sum is σ = 90767464010496. Its totient is φ = 10112339635200.

The previous prime is 31383879816467. The next prime is 31383879816529. The reversal of 31383879816528 is 82561897838313.

31383879816528 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 3 + 8 + 7 + 98 + 1 + 6 + 528 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31383879816529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57250 + ... + 7922817.

Almost surely, 2^{31383879816528} 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 31383879816528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45383732005248).

31383879816528 is an abundant number, since it is smaller than the sum of its proper divisors (59383584193968).

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

31383879816528 is a wasteful number, since it uses less digits than its factorization.

31383879816528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980993 (or 7980984 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 31383879816528 in words is "thirty-one trillion, three hundred eighty-three billion, eight hundred seventy-nine million, eight hundred sixteen thousand, five hundred twenty-eight".