11766349184 has 64 divisors (see below), whose sum is σ = 25043121600. Its totient is φ = 5490270720.

The previous prime is 11766349159. The next prime is 11766349187. The reversal of 11766349184 is 48194366711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11766349187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126839 + ... + 199049.

It is an arithmetic number, because the mean of its divisors is an integer number (391298775).

Almost surely, 2^11766349184 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 11766349184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521560800).

11766349184 is an abundant number, since it is smaller than the sum of its proper divisors (13276772416).

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

11766349184 is an equidigital number, since it uses as much as digits as its factorization.

11766349184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72311 (or 72299 counting only the distinct ones).

The product of its digits is 870912, while the sum is 50.

The spelling of 11766349184 in words is "eleven billion, seven hundred sixty-six million, three hundred forty-nine thousand, one hundred eighty-four".