11664232032 has 96 divisors (see below), whose sum is σ = 32969462400. Its totient is φ = 3597314048.

The previous prime is 11664231949. The next prime is 11664232033. The reversal of 11664232032 is 23023246611.

11664232032 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11664232033) 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 15 ways as a sum of consecutive naturals, for example, 35719 + ... + 156857.

It is an arithmetic number, because the mean of its divisors is an integer number (343431900).

Almost surely, 2^11664232032 is an apocalyptic number.

11664232032 is a gapful number since it is divisible by the number (12) 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 11664232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16484731200).

11664232032 is an abundant number, since it is smaller than the sum of its proper divisors (21305230368).

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

11664232032 is a wasteful number, since it uses less digits than its factorization.

11664232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121228 (or 121220 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 11664232032 its reverse (23023246611), we get a palindrome (34687478643).

The spelling of 11664232032 in words is "eleven billion, six hundred sixty-four million, two hundred thirty-two thousand, thirty-two".