12413446656 has 320 divisors, whose sum is σ = 37617592320. Its totient is φ = 3608985600.

The previous prime is 12413446651. The next prime is 12413446657. The reversal of 12413446656 is 65664431421.

It is not an unprimeable number, because it can be changed into a prime (12413446651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69348775 + ... + 69348953.

It is an arithmetic number, because the mean of its divisors is an integer number (117554976).

Almost surely, 2^12413446656 is an apocalyptic number.

12413446656 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 12413446656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808796160).

12413446656 is an abundant number, since it is smaller than the sum of its proper divisors (25204145664).

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

12413446656 is a wasteful number, since it uses less digits than its factorization.

12413446656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 12413446656 in words is "twelve billion, four hundred thirteen million, four hundred forty-six thousand, six hundred fifty-six".