12929134978944 has 256 divisors, whose sum is σ = 40146102561600. Its totient is φ = 4090957332480.

The previous prime is 12929134978943. The next prime is 12929134978967. The reversal of 12929134978944 is 44987943192921.

12929134978944 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 9 + 13 + 497 + 89 + 44 = 666.

12929134978944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12929134978943) 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, 4009704 + ... + 6475800.

Almost surely, 2^{12929134978944} 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 12929134978944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20073051280800).

12929134978944 is an abundant number, since it is smaller than the sum of its proper divisors (27216967582656).

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

12929134978944 is a wasteful number, since it uses less digits than its factorization.

12929134978944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466198 (or 2466180 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 12929134978944 in words is "twelve trillion, nine hundred twenty-nine billion, one hundred thirty-four million, nine hundred seventy-eight thousand, nine hundred forty-four".