12793731048 has 144 divisors (see below), whose sum is σ = 42059515680. Its totient is φ = 3496401216.

The previous prime is 12793731029. The next prime is 12793731053. The reversal of 12793731048 is 84013739721.

12793731048 is a `hidden beast` number, since 1 + 279 + 373 + 1 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12793730994 and 12793731012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2311 + ... + 159977.

It is an arithmetic number, because the mean of its divisors is an integer number (292079970).

Almost surely, 2^12793731048 is an apocalyptic number.

12793731048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12793731048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21029757840).

12793731048 is an abundant number, since it is smaller than the sum of its proper divisors (29265784632).

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

12793731048 is a wasteful number, since it uses less digits than its factorization.

12793731048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157716 (or 157702 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12793731048 in words is "twelve billion, seven hundred ninety-three million, seven hundred thirty-one thousand, forty-eight".