12385600656 has 120 divisors (see below), whose sum is σ = 37874867520. Its totient is φ = 3464482560.

The previous prime is 12385600651. The next prime is 12385600679. The reversal of 12385600656 is 65600658321.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12385600651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6516 + ... + 157523.

It is an arithmetic number, because the mean of its divisors is an integer number (315623896).

Almost surely, 2^12385600656 is an apocalyptic number.

12385600656 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 12385600656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18937433760).

12385600656 is an abundant number, since it is smaller than the sum of its proper divisors (25489266864).

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

12385600656 is a wasteful number, since it uses less digits than its factorization.

12385600656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164085 (or 164068 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 12385600656 in words is "twelve billion, three hundred eighty-five million, six hundred thousand, six hundred fifty-six".