14431101224144 has 320 divisors, whose sum is σ = 32941314835200. Its totient is φ = 6055144243200.

The previous prime is 14431101224143. The next prime is 14431101224173. The reversal of 14431101224144 is 44142210113441.

It is a self number, because there is not a number n which added to its sum of digits gives 14431101224144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14431101224143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17838196412 + ... + 17838197220.

It is an arithmetic number, because the mean of its divisors is an integer number (102941608860).

Almost surely, 2^{14431101224144} 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 14431101224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16470657417600).

14431101224144 is an abundant number, since it is smaller than the sum of its proper divisors (18510213611056).

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

14431101224144 is a wasteful number, since it uses less digits than its factorization.

14431101224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 14431101224144 its reverse (44142210113441), we get a palindrome (58573311337585).

The spelling of 14431101224144 in words is "fourteen trillion, four hundred thirty-one billion, one hundred one million, two hundred twenty-four thousand, one hundred forty-four".