12918915154944 has 352 divisors, whose sum is σ = 39217927351680. Its totient is φ = 4198573670400.

The previous prime is 12918915154919. The next prime is 12918915154987. The reversal of 12918915154944 is 44945151981921.

12918915154944 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 8 + 91 + 51 + 5 + 494 + 4 = 666.

12918915154944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2542590484 + ... + 2542595564.

It is an arithmetic number, because the mean of its divisors is an integer number (111414566340).

Almost surely, 2^{12918915154944} 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 12918915154944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19608963675840).

12918915154944 is an abundant number, since it is smaller than the sum of its proper divisors (26299012196736).

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

12918915154944 is a wasteful number, since it uses less digits than its factorization.

12918915154944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7394 (or 7370 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 63.

The spelling of 12918915154944 in words is "twelve trillion, nine hundred eighteen billion, nine hundred fifteen million, one hundred fifty-four thousand, nine hundred forty-four".