11001110011008 has 192 divisors, whose sum is σ = 32011994078400. Its totient is φ = 3327579518976.

The previous prime is 11001110010991. The next prime is 11001110011063. The reversal of 11001110011008 is 80011001110011.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 17060613 + ... + 17693691.

It is an arithmetic number, because the mean of its divisors is an integer number (166729135825).

Almost surely, 2^{11001110011008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001110011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16005997039200).

11001110011008 is an abundant number, since it is smaller than the sum of its proper divisors (21010884067392).

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

11001110011008 is an equidigital number, since it uses as much as digits as its factorization.

11001110011008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633227 (or 633156 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11001110011008 its reverse (80011001110011), we get a palindrome (91012111121019).

The spelling of 11001110011008 in words is "eleven trillion, one billion, one hundred ten million, eleven thousand, eight".