12966279293184 has 288 divisors, whose sum is σ = 39954840468480. Its totient is φ = 3656296882176.

The previous prime is 12966279293183. The next prime is 12966279293269. The reversal of 12966279293184 is 48139297266921.

It is not an unprimeable number, because it can be changed into a prime (12966279293183) 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, 454671694 + ... + 454700210.

It is an arithmetic number, because the mean of its divisors is an integer number (138732084960).

Almost surely, 2^{12966279293184} is an apocalyptic number.

12966279293184 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 12966279293184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19977420234240).

12966279293184 is an abundant number, since it is smaller than the sum of its proper divisors (26988561175296).

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

12966279293184 is a wasteful number, since it uses less digits than its factorization.

12966279293184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29645 (or 29631 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 69.

The spelling of 12966279293184 in words is "twelve trillion, nine hundred sixty-six billion, two hundred seventy-nine million, two hundred ninety-three thousand, one hundred eighty-four".