113144221344 has 288 divisors, whose sum is σ = 393360662016. Its totient is φ = 27658874880.

The previous prime is 113144221343. The next prime is 113144221349. The reversal of 113144221344 is 443122441311.

It is a happy number.

It is a super-2 number, since 2×113144221344² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (113144221343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2109807 + ... + 2162769.

It is an arithmetic number, because the mean of its divisors is an integer number (1365835632).

Almost surely, 2^113144221344 is an apocalyptic number.

113144221344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113144221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196680331008).

113144221344 is an abundant number, since it is smaller than the sum of its proper divisors (280216440672).

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

113144221344 is a wasteful number, since it uses less digits than its factorization.

113144221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53028 (or 53003 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 113144221344 its reverse (443122441311), we get a palindrome (556266662655).

The spelling of 113144221344 in words is "one hundred thirteen billion, one hundred forty-four million, two hundred twenty-one thousand, three hundred forty-four".