144144431312 has 30 divisors (see below), whose sum is σ = 324876545298. Its totient is φ = 61776184512.

The previous prime is 144144431309. The next prime is 144144431339. The reversal of 144144431312 is 213134441441.

144144431312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 104823127696 + 39321303616 = 323764^2 + 198296^2 .

It is a super-3 number, since 3×144144431312³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 91928063 + ... + 91929630.

Almost surely, 2^144144431312 is an apocalyptic number.

It is an amenable number.

144144431312 is an abundant number, since it is smaller than the sum of its proper divisors (180732113986).

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

144144431312 is a wasteful number, since it uses less digits than its factorization.

144144431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183857715 (or 183857702 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

Adding to 144144431312 its reverse (213134441441), we get a palindrome (357278872753).

The spelling of 144144431312 in words is "one hundred forty-four billion, one hundred forty-four million, four hundred thirty-one thousand, three hundred twelve".