12446857564960 has 384 divisors, whose sum is σ = 36512950763520. Its totient is φ = 3904314753024.

The previous prime is 12446857564957. The next prime is 12446857565047. The reversal of 12446857564960 is 6946575864421.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2272565742 + ... + 2272571218.

It is an arithmetic number, because the mean of its divisors is an integer number (95085809280).

Almost surely, 2^{12446857564960} is an apocalyptic number.

12446857564960 is a gapful number since it is divisible by the number (10) 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 12446857564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18256475381760).

12446857564960 is an abundant number, since it is smaller than the sum of its proper divisors (24066093198560).

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

12446857564960 is a wasteful number, since it uses less digits than its factorization.

12446857564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6868 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 67.

The spelling of 12446857564960 in words is "twelve trillion, four hundred forty-six billion, eight hundred fifty-seven million, five hundred sixty-four thousand, nine hundred sixty".