13341968099328 has 576 divisors, whose sum is σ = 40891021516800. Its totient is φ = 3858370560000.

The previous prime is 13341968099311. The next prime is 13341968099347. The reversal of 13341968099328 is 82399086914331.

It is a super-2 number, since 2×13341968099328² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 12841162233 + ... + 12841163271.

It is an arithmetic number, because the mean of its divisors is an integer number (70991356800).

Almost surely, 2^{13341968099328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13341968099328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20445510758400).

13341968099328 is an abundant number, since it is smaller than the sum of its proper divisors (27549053417472).

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

13341968099328 is a wasteful number, since it uses less digits than its factorization.

13341968099328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 66.

The spelling of 13341968099328 in words is "thirteen trillion, three hundred forty-one billion, nine hundred sixty-eight million, ninety-nine thousand, three hundred twenty-eight".