12613805568 has 640 divisors, whose sum is σ = 47370301440. Its totient is φ = 3224862720.

The previous prime is 12613805551. The next prime is 12613805569. The reversal of 12613805568 is 86550831621.

12613805568 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 3 + 80 + 5 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12613805569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46545273 + ... + 46545543.

It is an arithmetic number, because the mean of its divisors is an integer number (74016096).

Almost surely, 2^12613805568 is an apocalyptic number.

12613805568 is a gapful number since it is divisible by the number (18) 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 12613805568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23685150720).

12613805568 is an abundant number, since it is smaller than the sum of its proper divisors (34756495872).

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

12613805568 is a wasteful number, since it uses less digits than its factorization.

12613805568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 12613805568 in words is "twelve billion, six hundred thirteen million, eight hundred five thousand, five hundred sixty-eight".