144144332032 has 108 divisors (see below), whose sum is σ = 299619627580. Its totient is φ = 69206409216.

The previous prime is 144144332021. The next prime is 144144332041. The reversal of 144144332032 is 230233441441.

It can be written as a sum of positive squares in 6 ways, for example, as 23918478336 + 120225853696 = 154656^2 + 346736^2 .

It is a super-2 number, since 2×144144332032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144144331985 and 144144332003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41550394 + ... + 41553862.

Almost surely, 2^144144332032 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 144144332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149809813790).

144144332032 is an abundant number, since it is smaller than the sum of its proper divisors (155475295548).

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

144144332032 is an equidigital number, since it uses as much as digits as its factorization.

144144332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 144144332032 its reverse (230233441441), we get a palindrome (374377773473).

The spelling of 144144332032 in words is "one hundred forty-four billion, one hundred forty-four million, three hundred thirty-two thousand, thirty-two".