13838318305344 has 336 divisors, whose sum is σ = 42909052234048. Its totient is φ = 4238756573184.

The previous prime is 13838318305337. The next prime is 13838318305369. The reversal of 13838318305344 is 44350381383831.

13838318305344 is a `hidden beast` number, since 1 + 38 + 38 + 3 + 18 + 30 + 534 + 4 = 666.

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, 2085022794 + ... + 2085029430.

Almost surely, 2^{13838318305344} 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 13838318305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21454526117024).

13838318305344 is an abundant number, since it is smaller than the sum of its proper divisors (29070733928704).

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

13838318305344 is a wasteful number, since it uses less digits than its factorization.

13838318305344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7882 (or 7869 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 13838318305344 in words is "thirteen trillion, eight hundred thirty-eight billion, three hundred eighteen million, three hundred five thousand, three hundred forty-four".