144141113132224 has 224 divisors, whose sum is σ = 328918285967040. Its totient is φ = 62187572428800.

The previous prime is 144141113132221. The next prime is 144141113132231. The reversal of 144141113132224 is 422231311141441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144141113132224.

It is not an unprimeable number, because it can be changed into a prime (144141113132221) 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 31 ways as a sum of consecutive naturals, for example, 129035352 + ... + 130147624.

It is an arithmetic number, because the mean of its divisors is an integer number (1468385205210).

Almost surely, 2^{144141113132224} 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 144141113132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164459142983520).

144141113132224 is an abundant number, since it is smaller than the sum of its proper divisors (184777172834816).

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

144141113132224 is a wasteful number, since it uses less digits than its factorization.

144141113132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112499 (or 1112489 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

Adding to 144141113132224 its reverse (422231311141441), we get a palindrome (566372424273665).

The spelling of 144141113132224 in words is "one hundred forty-four trillion, one hundred forty-one billion, one hundred thirteen million, one hundred thirty-two thousand, two hundred twenty-four".