144311442324132 has 48 divisors (see below), whose sum is σ = 341472958848000. Its totient is φ = 47425791359520.

The previous prime is 144311442324079. The next prime is 144311442324149. The reversal of 144311442324132 is 231423244113441.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83973619 + ... + 85674917.

It is an arithmetic number, because the mean of its divisors is an integer number (7114019976000).

Almost surely, 2^{144311442324132} is an apocalyptic number.

144311442324132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144311442324132 is an abundant number, since it is smaller than the sum of its proper divisors (197161516523868).

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

144311442324132 is a wasteful number, since it uses less digits than its factorization.

144311442324132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800936 (or 1800934 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

Adding to 144311442324132 its reverse (231423244113441), we get a palindrome (375734686437573).

The spelling of 144311442324132 in words is "one hundred forty-four trillion, three hundred eleven billion, four hundred forty-two million, three hundred twenty-four thousand, one hundred thirty-two".