14444122144 has 72 divisors (see below), whose sum is σ = 29743050960. Its totient is φ = 6903665280.

The previous prime is 14444122141. The next prime is 14444122159. The reversal of 14444122144 is 44122144441.

14444122144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14444122141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2549587 + ... + 2555245.

It is an arithmetic number, because the mean of its divisors is an integer number (413097930).

Almost surely, 2^14444122144 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 14444122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871525480).

14444122144 is an abundant number, since it is smaller than the sum of its proper divisors (15298928816).

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

14444122144 is an equidigital number, since it uses as much as digits as its factorization.

14444122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5814 (or 5775 counting only the distinct ones).

The product of its digits is 16384, while the sum is 31.

Adding to 14444122144 its reverse (44122144441), we get a palindrome (58566266585).

The spelling of 14444122144 in words is "fourteen billion, four hundred forty-four million, one hundred twenty-two thousand, one hundred forty-four".