11138444800 has 480 divisors, whose sum is σ = 33488928000. Its totient is φ = 3666862080.

The previous prime is 11138444783. The next prime is 11138444819. The reversal of 11138444800 is 844483111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188787171 + ... + 188787229.

It is an arithmetic number, because the mean of its divisors is an integer number (69768600).

Almost surely, 2^11138444800 is an apocalyptic number.

11138444800 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 11138444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744464000).

11138444800 is an abundant number, since it is smaller than the sum of its proper divisors (22350483200).

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

11138444800 is an frugal number, since it uses more digits than its factorization.

11138444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 11138444800 in words is "eleven billion, one hundred thirty-eight million, four hundred forty-four thousand, eight hundred".