11444289304 has 64 divisors (see below), whose sum is σ = 25912972800. Its totient is φ = 4628772864.

The previous prime is 11444289301. The next prime is 11444289341. The reversal of 11444289304 is 40398244411.

11444289304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11444289301) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 259384 + ... + 300280.

It is an arithmetic number, because the mean of its divisors is an integer number (404890200).

Almost surely, 2^11444289304 is an apocalyptic number.

11444289304 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 11444289304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12956486400).

11444289304 is an abundant number, since it is smaller than the sum of its proper divisors (14468683496).

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

11444289304 is a wasteful number, since it uses less digits than its factorization.

11444289304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41192 (or 41188 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 11444289304 in words is "eleven billion, four hundred forty-four million, two hundred eighty-nine thousand, three hundred four".