11491807104 has 192 divisors, whose sum is σ = 34153994160. Its totient is φ = 3706601472.

The previous prime is 11491807087. The next prime is 11491807123. The reversal of 11491807104 is 40170819411.

It is a happy number.

11491807104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5596542 + ... + 5598594.

Almost surely, 2^11491807104 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 11491807104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17076997080).

11491807104 is an abundant number, since it is smaller than the sum of its proper divisors (22662187056).

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

11491807104 is a wasteful number, since it uses less digits than its factorization.

11491807104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 11491807104 in words is "eleven billion, four hundred ninety-one million, eight hundred seven thousand, one hundred four".