144424456125312 has 512 divisors, whose sum is σ = 430207759872000. Its totient is φ = 42550773350400.

The previous prime is 144424456125311. The next prime is 144424456125319. The reversal of 144424456125312 is 213521654424441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144424456125311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42970678512 + ... + 42970681872.

It is an arithmetic number, because the mean of its divisors is an integer number (840249531000).

Almost surely, 2^{144424456125312} is an apocalyptic number.

144424456125312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144424456125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215103879936000).

144424456125312 is an abundant number, since it is smaller than the sum of its proper divisors (285783303746688).

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

144424456125312 is a wasteful number, since it uses less digits than its factorization.

144424456125312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4438 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 144424456125312 in words is "one hundred forty-four trillion, four hundred twenty-four billion, four hundred fifty-six million, one hundred twenty-five thousand, three hundred twelve".