12831223531824 has 240 divisors, whose sum is σ = 37273707350880. Its totient is φ = 4115616583680.

The previous prime is 12831223531741. The next prime is 12831223531891. The reversal of 12831223531824 is 42813532213821.

12831223531824 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 12 + 23 + 531 + 82 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12831223531824.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3852061839 + ... + 3852065169.

It is an arithmetic number, because the mean of its divisors is an integer number (155307113962).

Almost surely, 2^{12831223531824} 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 12831223531824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18636853675440).

12831223531824 is an abundant number, since it is smaller than the sum of its proper divisors (24442483819056).

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

12831223531824 is a wasteful number, since it uses less digits than its factorization.

12831223531824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6220 (or 6211 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 12831223531824 in words is "twelve trillion, eight hundred thirty-one billion, two hundred twenty-three million, five hundred thirty-one thousand, eight hundred twenty-four".