14545024404144 has 320 divisors, whose sum is σ = 44383573019520. Its totient is φ = 4063214960640.

The previous prime is 14545024404143. The next prime is 14545024404179. The reversal of 14545024404144 is 44140442054541.

It is a junction number, because it is equal to n+sod(n) for n = 14545024404096 and 14545024404105.

It is not an unprimeable number, because it can be changed into a prime (14545024404143) 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, 38520714 + ... + 38896470.

It is an arithmetic number, because the mean of its divisors is an integer number (138698665686).

Almost surely, 2^{14545024404144} 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 14545024404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22191786509760).

14545024404144 is an abundant number, since it is smaller than the sum of its proper divisors (29838548615376).

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

14545024404144 is a wasteful number, since it uses less digits than its factorization.

14545024404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375928 (or 375922 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 42.

Adding to 14545024404144 its reverse (44140442054541), we get a palindrome (58685466458685).

The spelling of 14545024404144 in words is "fourteen trillion, five hundred forty-five billion, twenty-four million, four hundred four thousand, one hundred forty-four".