14442135344 has 120 divisors (see below), whose sum is σ = 36578596320. Its totient is φ = 5464876032.

The previous prime is 14442135319. The next prime is 14442135403. The reversal of 14442135344 is 44353124441.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 203612 + ... + 265220.

It is an arithmetic number, because the mean of its divisors is an integer number (304821636).

Almost surely, 2^14442135344 is an apocalyptic number.

14442135344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14442135344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289298160).

14442135344 is an abundant number, since it is smaller than the sum of its proper divisors (22136460976).

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

14442135344 is a wasteful number, since it uses less digits than its factorization.

14442135344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61667 (or 61654 counting only the distinct ones).

The product of its digits is 92160, while the sum is 35.

Adding to 14442135344 its reverse (44353124441), we get a palindrome (58795259785).

The spelling of 14442135344 in words is "fourteen billion, four hundred forty-two million, one hundred thirty-five thousand, three hundred forty-four".