11661712768 has 64 divisors (see below), whose sum is σ = 24708337200. Its totient is φ = 5463457792.

The previous prime is 11661712763. The next prime is 11661712813. The reversal of 11661712768 is 86721716611.

11661712768 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 (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11661712763) 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 7 ways as a sum of consecutive naturals, for example, 482148 + ... + 505756.

Almost surely, 2^11661712768 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 11661712768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12354168600).

11661712768 is an abundant number, since it is smaller than the sum of its proper divisors (13046624432).

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

11661712768 is a wasteful number, since it uses less digits than its factorization.

11661712768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23867 (or 23855 counting only the distinct ones).

The product of its digits is 169344, while the sum is 46.

The spelling of 11661712768 in words is "eleven billion, six hundred sixty-one million, seven hundred twelve thousand, seven hundred sixty-eight".