12844815744 has 128 divisors (see below), whose sum is σ = 35020500480. Its totient is φ = 4169410560.

The previous prime is 12844815743. The next prime is 12844815751. The reversal of 12844815744 is 44751844821.

12844815744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 12844815693 and 12844815702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12844815743) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3806442 + ... + 3809814.

It is an arithmetic number, because the mean of its divisors is an integer number (273597660).

Almost surely, 2^12844815744 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 12844815744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510250240).

12844815744 is an abundant number, since it is smaller than the sum of its proper divisors (22175684736).

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

12844815744 is a wasteful number, since it uses less digits than its factorization.

12844815744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3636 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 48.

The spelling of 12844815744 in words is "twelve billion, eight hundred forty-four million, eight hundred fifteen thousand, seven hundred forty-four".