13323938208768 has 792 divisors, whose sum is σ = 44905602661920. Its totient is φ = 3789029376000.

The previous prime is 13323938208767. The next prime is 13323938208781. The reversal of 13323938208768 is 86780283932331.

13323938208768 is a `hidden beast` number, since 1 + 3 + 32 + 393 + 8 + 208 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323938208767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8322259168 + ... + 8322260768.

It is an arithmetic number, because the mean of its divisors is an integer number (56698993260).

Almost surely, 2^{13323938208768} is an apocalyptic number.

13323938208768 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 13323938208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22452801330960).

13323938208768 is an abundant number, since it is smaller than the sum of its proper divisors (31581664453152).

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

13323938208768 is a wasteful number, since it uses less digits than its factorization.

13323938208768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 13323938208768 in words is "thirteen trillion, three hundred twenty-three billion, nine hundred thirty-eight million, two hundred eight thousand, seven hundred sixty-eight".