12824793144 has 48 divisors (see below), whose sum is σ = 34741795920. Its totient is φ = 4273948800.

The previous prime is 12824793127. The next prime is 12824793167. The reversal of 12824793144 is 44139742821.

12824793144 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 12824793144.

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 11 ways as a sum of consecutive naturals, for example, 338484 + ... + 374460.

It is an arithmetic number, because the mean of its divisors is an integer number (723787415).

Almost surely, 2^12824793144 is an apocalyptic number.

It is an amenable number.

12824793144 is an abundant number, since it is smaller than the sum of its proper divisors (21917002776).

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

12824793144 is a wasteful number, since it uses less digits than its factorization.

12824793144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40940 (or 40933 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 12824793144 in words is "twelve billion, eight hundred twenty-four million, seven hundred ninety-three thousand, one hundred forty-four".