12671083074944 has 128 divisors (see below), whose sum is σ = 29847334982400. Its totient is φ = 5242646513664.

The previous prime is 12671083074931. The next prime is 12671083074953. The reversal of 12671083074944 is 44947038017621.

12671083074944 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 Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 12671083074944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317686427 + ... + 317726309.

It is an arithmetic number, because the mean of its divisors is an integer number (233182304550).

Almost surely, 2^{12671083074944} is an apocalyptic number.

12671083074944 is a gapful number since it is divisible by the number (14) 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 12671083074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923667491200).

12671083074944 is an abundant number, since it is smaller than the sum of its proper divisors (17176251907456).

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

12671083074944 is a wasteful number, since it uses less digits than its factorization.

12671083074944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52160 (or 52148 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 12671083074944 in words is "twelve trillion, six hundred seventy-one billion, eighty-three million, seventy-four thousand, nine hundred forty-four".