14317111891344 has 160 divisors (see below), whose sum is σ = 39238613568000. Its totient is φ = 4482806228992.

The previous prime is 14317111891223. The next prime is 14317111891417. The reversal of 14317111891344 is 44319811171341.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 14317111891293 and 14317111891302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1580425087 + ... + 1580434145.

It is an arithmetic number, because the mean of its divisors is an integer number (245241334800).

Almost surely, 2^{14317111891344} 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 14317111891344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19619306784000).

14317111891344 is an abundant number, since it is smaller than the sum of its proper divisors (24921501676656).

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

14317111891344 is a wasteful number, since it uses less digits than its factorization.

14317111891344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12685 (or 12679 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The spelling of 14317111891344 in words is "fourteen trillion, three hundred seventeen billion, one hundred eleven million, eight hundred ninety-one thousand, three hundred forty-four".