11444422304 has 192 divisors, whose sum is σ = 28844605440. Its totient is φ = 4351242240.

The previous prime is 11444422237. The next prime is 11444422331. The reversal of 11444422304 is 40322444411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26552969 + ... + 26553399.

It is an arithmetic number, because the mean of its divisors is an integer number (150232320).

Almost surely, 2^11444422304 is an apocalyptic number.

11444422304 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 11444422304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14422302720).

11444422304 is an abundant number, since it is smaller than the sum of its proper divisors (17400183136).

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

11444422304 is a wasteful number, since it uses less digits than its factorization.

11444422304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 11444422304 its reverse (40322444411), we get a palindrome (51766866715).

The spelling of 11444422304 in words is "eleven billion, four hundred forty-four million, four hundred twenty-two thousand, three hundred four".