14034001314344 has 128 divisors (see below), whose sum is σ = 29614154169600. Its totient is φ = 6179588352000.

The previous prime is 14034001314341. The next prime is 14034001314383. The reversal of 14034001314344 is 44341310043041.

It is a self number, because there is not a number n which added to its sum of digits gives 14034001314344.

It is not an unprimeable number, because it can be changed into a prime (14034001314341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 361765589 + ... + 361804379.

It is an arithmetic number, because the mean of its divisors is an integer number (231360579450).

Almost surely, 2^{14034001314344} 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 14034001314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14807077084800).

14034001314344 is an abundant number, since it is smaller than the sum of its proper divisors (15580152855256).

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

14034001314344 is a wasteful number, since it uses less digits than its factorization.

14034001314344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39555 (or 39551 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 14034001314344 its reverse (44341310043041), we get a palindrome (58375311357385).

The spelling of 14034001314344 in words is "fourteen trillion, thirty-four billion, one million, three hundred fourteen thousand, three hundred forty-four".