13309173790368 has 384 divisors, whose sum is σ = 40651768442880. Its totient is φ = 3781803294720.

The previous prime is 13309173790333. The next prime is 13309173790399. The reversal of 13309173790368 is 86309737190331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2108881933 + ... + 2108888243.

It is an arithmetic number, because the mean of its divisors is an integer number (105863980320).

Almost surely, 2^{13309173790368} 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 13309173790368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20325884221440).

13309173790368 is an abundant number, since it is smaller than the sum of its proper divisors (27342594652512).

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

13309173790368 is a wasteful number, since it uses less digits than its factorization.

13309173790368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9340 (or 9332 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 60.

The spelling of 13309173790368 in words is "thirteen trillion, three hundred nine billion, one hundred seventy-three million, seven hundred ninety thousand, three hundred sixty-eight".