11739184128 has 264 divisors, whose sum is σ = 38936363648. Its totient is φ = 3337003008.

The previous prime is 11739184123. The next prime is 11739184189. The reversal of 11739184128 is 82148193711.

It is a happy number.

11739184128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11739184123) by changing a digit.

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, 18256575 + ... + 18257217.

Almost surely, 2^11739184128 is an apocalyptic number.

11739184128 is a gapful number since it is divisible by the number (18) 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 11739184128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19468181824).

11739184128 is an abundant number, since it is smaller than the sum of its proper divisors (27197179520).

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

11739184128 is a wasteful number, since it uses less digits than its factorization.

11739184128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 938 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The spelling of 11739184128 in words is "eleven billion, seven hundred thirty-nine million, one hundred eighty-four thousand, one hundred twenty-eight".