144050311272 has 128 divisors (see below), whose sum is σ = 423835948800. Its totient is φ = 39936872448.

The previous prime is 144050311271. The next prime is 144050311303. The reversal of 144050311272 is 272113050441.

It is not an unprimeable number, because it can be changed into a prime (144050311271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2287504 + ... + 2349632.

It is an arithmetic number, because the mean of its divisors is an integer number (3311218350).

Almost surely, 2^144050311272 is an apocalyptic number.

144050311272 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 144050311272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211917974400).

144050311272 is an abundant number, since it is smaller than the sum of its proper divisors (279785637528).

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

144050311272 is a wasteful number, since it uses less digits than its factorization.

144050311272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62555 (or 62551 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 144050311272 in words is "one hundred forty-four billion, fifty million, three hundred eleven thousand, two hundred seventy-two".