11322242441316 has 243 divisors, whose sum is σ = 30795763071801. Its totient is φ = 3507093108288.

The previous prime is 11322242441299. The next prime is 11322242441359. The reversal of 11322242441316 is 61314424222311.

The square root of 11322242441316 is 3364854.

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

11322242441316 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 224 + 2 + 4 + 413 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10131298020900 + 1190944420416 = 3182970^2 + 1091304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17180944195 + ... + 17180944853.

Almost surely, 2^{11322242441316} is an apocalyptic number.

11322242441316 is the 3364854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11322242441316

11322242441316 is an abundant number, since it is smaller than the sum of its proper divisors (19473520630485).

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

11322242441316 is an equidigital number, since it uses as much as digits as its factorization.

11322242441316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 724 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Multiplying 11322242441316 by its sum of digits (36), we get a square (407600727887376 = 20189124²).

11322242441316 divided by its sum of digits (36) gives a square (314506734481 = 560809²).

Adding to 11322242441316 its reverse (61314424222311), we get a palindrome (72636666663627).

The spelling of 11322242441316 in words is "eleven trillion, three hundred twenty-two billion, two hundred forty-two million, four hundred forty-one thousand, three hundred sixteen".