14442344210112 has 336 divisors, whose sum is σ = 47776189773312. Its totient is φ = 3769696419840.

The previous prime is 14442344210011. The next prime is 14442344210117. The reversal of 14442344210112 is 21101244324441.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (14442344210117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21704437 + ... + 22359947.

It is an arithmetic number, because the mean of its divisors is an integer number (142191040992).

Almost surely, 2^{14442344210112} is an apocalyptic number.

14442344210112 is a gapful number since it is divisible by the number (12) 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 14442344210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23888094886656).

14442344210112 is an abundant number, since it is smaller than the sum of its proper divisors (33333845563200).

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

14442344210112 is a wasteful number, since it uses less digits than its factorization.

14442344210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655656 (or 655633 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 14442344210112 its reverse (21101244324441), we get a palindrome (35543588534553).

The spelling of 14442344210112 in words is "fourteen trillion, four hundred forty-two billion, three hundred forty-four million, two hundred ten thousand, one hundred twelve".