11130667184 has 120 divisors (see below), whose sum is σ = 27143262720. Its totient is φ = 4328273664.

The previous prime is 11130667183. The next prime is 11130667201. The reversal of 11130667184 is 48176603111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130667183) by changing a digit.

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, 1111769 + ... + 1121735.

It is an arithmetic number, because the mean of its divisors is an integer number (226193856).

Almost surely, 2^11130667184 is an apocalyptic number.

11130667184 is a gapful number since it is divisible by the number (14) 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 11130667184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13571631360).

11130667184 is an abundant number, since it is smaller than the sum of its proper divisors (16012595536).

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

11130667184 is a wasteful number, since it uses less digits than its factorization.

11130667184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067 (or 10048 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 11130667184 in words is "eleven billion, one hundred thirty million, six hundred sixty-seven thousand, one hundred eighty-four".