12365161056 has 192 divisors, whose sum is σ = 37516651200. Its totient is φ = 3957424128.

The previous prime is 12365161043. The next prime is 12365161063. The reversal of 12365161056 is 65016156321.

12365161056 is a `hidden beast` number, since 1 + 2 + 36 + 5 + 1 + 610 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12365161056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4834530 + ... + 4837086.

It is an arithmetic number, because the mean of its divisors is an integer number (195399225).

Almost surely, 2^12365161056 is an apocalyptic number.

12365161056 is a gapful number since it is divisible by the number (16) 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 12365161056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18758325600).

12365161056 is an abundant number, since it is smaller than the sum of its proper divisors (25151490144).

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

12365161056 is a wasteful number, since it uses less digits than its factorization.

12365161056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 12365161056 in words is "twelve billion, three hundred sixty-five million, one hundred sixty-one thousand, fifty-six".