14000034144 has 96 divisors (see below), whose sum is σ = 37099593216. Its totient is φ = 4622492160.

The previous prime is 14000034143. The next prime is 14000034163. The reversal of 14000034144 is 44143000041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 14000034144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14000034143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5530159 + ... + 5532689.

It is an arithmetic number, because the mean of its divisors is an integer number (386454096).

Almost surely, 2^14000034144 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 14000034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18549796608).

14000034144 is an abundant number, since it is smaller than the sum of its proper divisors (23099559072).

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

14000034144 is a wasteful number, since it uses less digits than its factorization.

14000034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14000034144 its reverse (44143000041), we get a palindrome (58143034185).

The spelling of 14000034144 in words is "fourteen billion, thirty-four thousand, one hundred forty-four".