13344660845568 has 528 divisors, whose sum is σ = 43429305279360. Its totient is φ = 4068271816704.

The previous prime is 13344660845539. The next prime is 13344660845609. The reversal of 13344660845568 is 86554806644331.

13344660845568 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 4 + 6 + 60 + 8 + 4 + 5 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352576021 + ... + 352613867.

It is an arithmetic number, because the mean of its divisors is an integer number (82252472120).

Almost surely, 2^{13344660845568} is an apocalyptic number.

13344660845568 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 13344660845568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21714652639680).

13344660845568 is an abundant number, since it is smaller than the sum of its proper divisors (30084644433792).

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

13344660845568 is a wasteful number, since it uses less digits than its factorization.

13344660845568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38004 (or 37974 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 13344660845568 in words is "thirteen trillion, three hundred forty-four billion, six hundred sixty million, eight hundred forty-five thousand, five hundred sixty-eight".