12456056564056 has 192 divisors, whose sum is σ = 29223992678400. Its totient is φ = 4861916752896.

The previous prime is 12456056564011. The next prime is 12456056564071. The reversal of 12456056564056 is 65046565065421.

It is a super-2 number, since 2×12456056564056² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12456056563988 and 12456056564006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208464121 + ... + 208523863.

It is an arithmetic number, because the mean of its divisors is an integer number (152208295200).

Almost surely, 2^{12456056564056} 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 12456056564056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14611996339200).

12456056564056 is an abundant number, since it is smaller than the sum of its proper divisors (16767936114344).

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

12456056564056 is a wasteful number, since it uses less digits than its factorization.

12456056564056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60066 (or 60033 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 55.

The spelling of 12456056564056 in words is "twelve trillion, four hundred fifty-six billion, fifty-six million, five hundred sixty-four thousand, fifty-six".