12322810447416 has 768 divisors, whose sum is σ = 41084751052800. Its totient is φ = 3263787878400.

The previous prime is 12322810447393. The next prime is 12322810447429. The reversal of 12322810447416 is 61474401822321.

12322810447416 is a `hidden beast` number, since 1 + 2 + 3 + 228 + 1 + 0 + 4 + 4 + 7 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4756004281 + ... + 4756006871.

It is an arithmetic number, because the mean of its divisors is an integer number (53495769600).

Almost surely, 2^{12322810447416} 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 12322810447416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20542375526400).

12322810447416 is an abundant number, since it is smaller than the sum of its proper divisors (28761940605384).

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

12322810447416 is a wasteful number, since it uses less digits than its factorization.

12322810447416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 12322810447416 in words is "twelve trillion, three hundred twenty-two billion, eight hundred ten million, four hundred forty-seven thousand, four hundred sixteen".