12991328944 has 160 divisors (see below), whose sum is σ = 28849582080. Its totient is φ = 5616441600.

The previous prime is 12991328899. The next prime is 12991328981. The reversal of 12991328944 is 44982319921.

12991328944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12991328891 and 12991328900.

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 31 ways as a sum of consecutive naturals, for example, 49396557 + ... + 49396819.

It is an arithmetic number, because the mean of its divisors is an integer number (180309888).

Almost surely, 2^12991328944 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 12991328944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424791040).

12991328944 is an abundant number, since it is smaller than the sum of its proper divisors (15858253136).

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

12991328944 is a wasteful number, since it uses less digits than its factorization.

12991328944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 52.

The spelling of 12991328944 in words is "twelve billion, nine hundred ninety-one million, three hundred twenty-eight thousand, nine hundred forty-four".