14032214144 has 64 divisors (see below), whose sum is σ = 30554744640. Its totient is φ = 6379693056.

The previous prime is 14032214129. The next prime is 14032214173. The reversal of 14032214144 is 44141223041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48557 + ... + 174419.

It is an arithmetic number, because the mean of its divisors is an integer number (477417885).

Almost surely, 2^14032214144 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 14032214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15277372320).

14032214144 is an abundant number, since it is smaller than the sum of its proper divisors (16522530496).

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

14032214144 is a wasteful number, since it uses less digits than its factorization.

14032214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125957 (or 125945 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 14032214144 its reverse (44141223041), we get a palindrome (58173437185).

The spelling of 14032214144 in words is "fourteen billion, thirty-two million, two hundred fourteen thousand, one hundred forty-four".