144338833441 has 24 divisors (see below), whose sum is σ = 160169947560. Its totient is φ = 129968593920.

The previous prime is 144338833427. The next prime is 144338833477.

It is a happy number.

144338833441 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 12282180625 + 132056652816 = 110825^2 + 363396^2 .

It is not a de Polignac number, because 144338833441 - 2¹¹ = 144338831393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144338833391 and 144338833400.

It is not an unprimeable number, because it can be changed into a prime (144338837441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5618161 + ... + 5643793.

It is an arithmetic number, because the mean of its divisors is an integer number (6673747815).

Almost surely, 2^144338833441 is an apocalyptic number.

144338833441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144338833441 is a deficient number, since it is larger than the sum of its proper divisors (15831114119).

144338833441 is a wasteful number, since it uses less digits than its factorization.

144338833441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26097 (or 26086 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

It can be divided in two parts, 144338 and 833441, that added together give a palindrome (977779).

The spelling of 144338833441 in words is "one hundred forty-four billion, three hundred thirty-eight million, eight hundred thirty-three thousand, four hundred forty-one".