11011444000 has 192 divisors, whose sum is σ = 29006595072. Its totient is φ = 4093440000.

The previous prime is 11011443997. The next prime is 11011444019. The reversal of 11011444000 is 44411011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5643025 + ... + 5644975.

It is an arithmetic number, because the mean of its divisors is an integer number (151076016).

Almost surely, 2^11011444000 is an apocalyptic number.

11011444000 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 11011444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503297536).

11011444000 is an abundant number, since it is smaller than the sum of its proper divisors (17995151072).

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

11011444000 is a wasteful number, since it uses less digits than its factorization.

11011444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11011444000 its reverse (44411011), we get a palindrome (11055855011).

The spelling of 11011444000 in words is "eleven billion, eleven million, four hundred forty-four thousand".