11001144000 has 448 divisors, whose sum is σ = 45296888832. Its totient is φ = 2285568000.

The previous prime is 11001143999. The next prime is 11001144031. The reversal of 11001144000 is 44110011.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1845024 + ... + 1850976.

Almost surely, 2^11001144000 is an apocalyptic number.

11001144000 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 11001144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22648444416).

11001144000 is an abundant number, since it is smaller than the sum of its proper divisors (34295744832).

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

11001144000 is a wasteful number, since it uses less digits than its factorization.

11001144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6001 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11001144000 its reverse (44110011), we get a palindrome (11045254011).

The spelling of 11001144000 in words is "eleven billion, one million, one hundred forty-four thousand".