14444145144 has 192 divisors, whose sum is σ = 46608307200. Its totient is φ = 3983212800.

The previous prime is 14444145119. The next prime is 14444145151. The reversal of 14444145144 is 44154144441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14444145099 and 14444145108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721137 + ... + 740895.

It is an arithmetic number, because the mean of its divisors is an integer number (242751600).

Almost surely, 2^14444145144 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 14444145144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23304153600).

14444145144 is an abundant number, since it is smaller than the sum of its proper divisors (32164162056).

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

14444145144 is a wasteful number, since it uses less digits than its factorization.

14444145144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19866 (or 19859 counting only the distinct ones).

The product of its digits is 81920, while the sum is 36.

Adding to 14444145144 its reverse (44154144441), we get a palindrome (58598289585).

The spelling of 14444145144 in words is "fourteen billion, four hundred forty-four million, one hundred forty-five thousand, one hundred forty-four".