12823732944 has 240 divisors, whose sum is σ = 42842257920. Its totient is φ = 3657139200.

The previous prime is 12823732861. The next prime is 12823732969. The reversal of 12823732944 is 44923732821.

12823732944 is a `hidden beast` number, since 1 + 282 + 3 + 7 + 329 + 44 = 666.

12823732944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12823732944.

It is a congruent number.

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, 881409 + ... + 895839.

It is an arithmetic number, because the mean of its divisors is an integer number (178509408).

Almost surely, 2^12823732944 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 12823732944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21421128960).

12823732944 is an abundant number, since it is smaller than the sum of its proper divisors (30018524976).

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

12823732944 is a wasteful number, since it uses less digits than its factorization.

12823732944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14487 (or 14464 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 12823732944 in words is "twelve billion, eight hundred twenty-three million, seven hundred thirty-two thousand, nine hundred forty-four".