12344444321 has 36 divisors (see below), whose sum is σ = 13993493388. Its totient is φ = 10878912000.

The previous prime is 12344444309. The next prime is 12344444351.

12344444321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 4687319296 + 7657125025 = 68464^2 + 87505^2 .

It is not a de Polignac number, because 12344444321 - 2¹⁰ = 12344443297 is a prime.

It is a super-3 number, since 3×12344444321³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344444351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90105365 + ... + 90105501.

Almost surely, 2^12344444321 is an apocalyptic number.

12344444321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12344444321 is a deficient number, since it is larger than the sum of its proper divisors (1649049067).

12344444321 is a wasteful number, since it uses less digits than its factorization.

12344444321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 322 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 123 and 44444321, that added together give a palindrome (44444444).

The spelling of 12344444321 in words is "twelve billion, three hundred forty-four million, four hundred forty-four thousand, three hundred twenty-one".