14315554441144 has 256 divisors, whose sum is σ = 30255961881600. Its totient is φ = 6295958323200.

The previous prime is 14315554441141. The next prime is 14315554441163. The reversal of 14315554441144 is 44114445551341.

It is a junction number, because it is equal to n+sod(n) for n = 14315554441094 and 14315554441103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14315554441141) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 27477071604 + ... + 27477072124.

It is an arithmetic number, because the mean of its divisors is an integer number (118187351100).

Almost surely, 2^{14315554441144} 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 14315554441144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15127980940800).

14315554441144 is an abundant number, since it is smaller than the sum of its proper divisors (15940407440456).

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

14315554441144 is a wasteful number, since it uses less digits than its factorization.

14315554441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1082 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 46.

Adding to 14315554441144 its reverse (44114445551341), we get a palindrome (58429999992485).

The spelling of 14315554441144 in words is "fourteen trillion, three hundred fifteen billion, five hundred fifty-four million, four hundred forty-one thousand, one hundred forty-four".