12345364656 has 80 divisors (see below), whose sum is σ = 35547948000. Its totient is φ = 4102094592.

The previous prime is 12345364637. The next prime is 12345364663. The reversal of 12345364656 is 65646354321.

12345364656 is a `hidden beast` number, since 1 + 23 + 4 + 536 + 46 + 56 = 666.

It is a super-2 number, since 2×12345364656² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91870 + ... + 182018.

It is an arithmetic number, because the mean of its divisors is an integer number (444349350).

Almost surely, 2^12345364656 is an apocalyptic number.

12345364656 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 12345364656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17773974000).

12345364656 is an abundant number, since it is smaller than the sum of its proper divisors (23202583344).

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

12345364656 is a wasteful number, since it uses less digits than its factorization.

12345364656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90483 (or 90471 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 12345364656 in words is "twelve billion, three hundred forty-five million, three hundred sixty-four thousand, six hundred fifty-six".