12891693079944 has 128 divisors (see below), whose sum is σ = 41331218284800. Its totient is φ = 3646872115200.

The previous prime is 12891693079943. The next prime is 12891693080089. The reversal of 12891693079944 is 44997039619821.

12891693079944 is a `hidden beast` number, since 1 + 289 + 169 + 30 + 79 + 94 + 4 = 666.

12891693079944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (12891693079943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42056457 + ... + 42361880.

It is an arithmetic number, because the mean of its divisors is an integer number (322900142850).

Almost surely, 2^{12891693079944} is an apocalyptic number.

12891693079944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12891693079944 is an abundant number, since it is smaller than the sum of its proper divisors (28439525204856).

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

12891693079944 is a wasteful number, since it uses less digits than its factorization.

12891693079944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84418460 (or 84418450 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 12891693079944 in words is "twelve trillion, eight hundred ninety-one billion, six hundred ninety-three million, seventy-nine thousand, nine hundred forty-four".