14004321114144 has 48 divisors (see below), whose sum is σ = 37384416548640. Its totient is φ = 4588986577920.

The previous prime is 14004321114109. The next prime is 14004321114149. The reversal of 14004321114144 is 44141112340041.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×14004321114144² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14004321114149) 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 7 ways as a sum of consecutive naturals, for example, 1236251497 + ... + 1236262824.

It is an arithmetic number, because the mean of its divisors is an integer number (778842011430).

Almost surely, 2^{14004321114144} is an apocalyptic number.

It is an amenable number.

14004321114144 is an abundant number, since it is smaller than the sum of its proper divisors (23380095434496).

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

14004321114144 is a wasteful number, since it uses less digits than its factorization.

14004321114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472514393 (or 2472514385 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 14004321114144 its reverse (44141112340041), we get a palindrome (58145433454185).

The spelling of 14004321114144 in words is "fourteen trillion, four billion, three hundred twenty-one million, one hundred fourteen thousand, one hundred forty-four".