12446181744216 has 256 divisors, whose sum is σ = 35936199936000. Its totient is φ = 3552534650880.

The previous prime is 12446181744193. The next prime is 12446181744247. The reversal of 12446181744216 is 61244718164421.

It is a congruent number.

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, 2868442575 + ... + 2868446913.

It is an arithmetic number, because the mean of its divisors is an integer number (140375781000).

Almost surely, 2^{12446181744216} 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 12446181744216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17968099968000).

12446181744216 is an abundant number, since it is smaller than the sum of its proper divisors (23490018191784).

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

12446181744216 is a wasteful number, since it uses less digits than its factorization.

12446181744216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534 (or 7530 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The spelling of 12446181744216 in words is "twelve trillion, four hundred forty-six billion, one hundred eighty-one million, seven hundred forty-four thousand, two hundred sixteen".