12844142224 has 45 divisors (see below), whose sum is σ = 25799644507. Its totient is φ = 6194273792.

The previous prime is 12844142221. The next prime is 12844142261. The reversal of 12844142224 is 42224144821.

The square root of 12844142224 is 113332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3545011600 + 9299130624 = 59540^2 + 96432^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12844142224.

It is not an unprimeable number, because it can be changed into a prime (12844142221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13146024 + ... + 13147000.

Almost surely, 2^12844142224 is an apocalyptic number.

12844142224 is the 113332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12844142224

12844142224 is an abundant number, since it is smaller than the sum of its proper divisors (12955502283).

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

12844142224 is an frugal number, since it uses more digits than its factorization.

12844142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 1008 counting only the distinct ones).

The product of its digits is 32768, while the sum is 34.

The spelling of 12844142224 in words is "twelve billion, eight hundred forty-four million, one hundred forty-two thousand, two hundred twenty-four".