12993274944 has 336 divisors, whose sum is σ = 42500174080. Its totient is φ = 3762339840.

The previous prime is 12993274939. The next prime is 12993274949. The reversal of 12993274944 is 44947239921.

12993274944 is a `hidden beast` number, since 129 + 9 + 3 + 27 + 494 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12993274939) and next prime (12993274949).

It is not an unprimeable number, because it can be changed into a prime (12993274949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38555544 + ... + 38555880.

Almost surely, 2^12993274944 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 12993274944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21250087040).

12993274944 is an abundant number, since it is smaller than the sum of its proper divisors (29506899136).

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

12993274944 is a wasteful number, since it uses less digits than its factorization.

12993274944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 645 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 12993274944 in words is "twelve billion, nine hundred ninety-three million, two hundred seventy-four thousand, nine hundred forty-four".