11444000000 has 126 divisors (see below), whose sum is σ = 28563735942. Its totient is φ = 4576000000.

The previous prime is 11443999933. The next prime is 11444000027. The reversal of 11444000000 is 44411.

It can be written as a sum of positive squares in 7 ways, for example, as 11443864576 + 135424 = 106976^2 + 368^2 .

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3998570 + ... + 4001430.

It is an arithmetic number, because the mean of its divisors is an integer number (226696317).

Almost surely, 2^11444000000 is an apocalyptic number.

11444000000 is a gapful number since it is divisible by the number (10) 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 11444000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14281867971).

11444000000 is an abundant number, since it is smaller than the sum of its proper divisors (17119735942).

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

11444000000 is an frugal number, since it uses more digits than its factorization.

11444000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 11444000000 its reverse (44411), we get a palindrome (11444044411).

The spelling of 11444000000 in words is "eleven billion, four hundred forty-four million", and thus it is an aban number.