12892816944 has 120 divisors (see below), whose sum is σ = 42351173280. Its totient is φ = 3584093184.

The previous prime is 12892816943. The next prime is 12892816987. The reversal of 12892816944 is 44961829821.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12892816943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135549 + ... + 210140.

It is an arithmetic number, because the mean of its divisors is an integer number (352926444).

Almost surely, 2^12892816944 is an apocalyptic number.

12892816944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12892816944 is an abundant number, since it is smaller than the sum of its proper divisors (29458356336).

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

12892816944 is a wasteful number, since it uses less digits than its factorization.

12892816944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345747 (or 345738 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 12892816944 in words is "twelve billion, eight hundred ninety-two million, eight hundred sixteen thousand, nine hundred forty-four".