14336800344 has 96 divisors (see below), whose sum is σ = 39789921600. Its totient is φ = 4661891520.

The previous prime is 14336800319. The next prime is 14336800369. The reversal of 14336800344 is 44300863341.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14336800319) and next prime (14336800369).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14336800299 and 14336800308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543607 + ... + 569369.

It is an arithmetic number, because the mean of its divisors is an integer number (414478350).

Almost surely, 2^14336800344 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 14336800344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19894960800).

14336800344 is an abundant number, since it is smaller than the sum of its proper divisors (25453121256).

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

14336800344 is a wasteful number, since it uses less digits than its factorization.

14336800344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25965 (or 25958 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 14336800344 in words is "fourteen billion, three hundred thirty-six million, eight hundred thousand, three hundred forty-four".