12344442144 has 48 divisors (see below), whose sum is σ = 32935392000. Its totient is φ = 4047356160.

The previous prime is 12344442031. The next prime is 12344442179. The reversal of 12344442144 is 44124444321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×12344442144³ (a number of 31 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1048144 + ... + 1059855.

It is an arithmetic number, because the mean of its divisors is an integer number (686154000).

Almost surely, 2^12344442144 is an apocalyptic number.

It is an amenable number.

12344442144 is an abundant number, since it is smaller than the sum of its proper divisors (20590949856).

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

12344442144 is a wasteful number, since it uses less digits than its factorization.

12344442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108073 (or 2108065 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

Adding to 12344442144 its reverse (44124444321), we get a palindrome (56468886465).

The spelling of 12344442144 in words is "twelve billion, three hundred forty-four million, four hundred forty-two thousand, one hundred forty-four".