1144241244224 has 112 divisors (see below), whose sum is σ = 2496230283120. Its totient is φ = 517180170240.

The previous prime is 1144241244217. The next prime is 1144241244247. The reversal of 1144241244224 is 4224421424411.

It can be written as a sum of positive squares in 8 ways, for example, as 8311604224 + 1135929640000 = 91168^2 + 1065800^2 .

It is a super-2 number, since 2×1144241244224² (a number of 25 digits) contains 22 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 15 ways as a sum of consecutive naturals, for example, 11572982 + ... + 11671434.

It is an arithmetic number, because the mean of its divisors is an integer number (22287770385).

Almost surely, 2^{1144241244224} 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 1144241244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248115141560).

1144241244224 is an abundant number, since it is smaller than the sum of its proper divisors (1351989038896).

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

1144241244224 is a wasteful number, since it uses less digits than its factorization.

1144241244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98768 (or 98758 counting only the distinct ones).

The product of its digits is 65536, while the sum is 35.

Adding to 1144241244224 its reverse (4224421424411), we get a palindrome (5368662668635).

The spelling of 1144241244224 in words is "one trillion, one hundred forty-four billion, two hundred forty-one million, two hundred forty-four thousand, two hundred twenty-four".