11668400384 has 36 divisors (see below), whose sum is σ = 24517085040. Its totient is φ = 5527134720.

The previous prime is 11668400333. The next prime is 11668400389. The reversal of 11668400384 is 48300486611.

11668400384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11668400389) 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 3 ways as a sum of consecutive naturals, for example, 1194602 + ... + 1204329.

It is an arithmetic number, because the mean of its divisors is an integer number (681030140).

Almost surely, 2^11668400384 is an apocalyptic number.

It is an amenable number.

11668400384 is an abundant number, since it is smaller than the sum of its proper divisors (12848684656).

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

11668400384 is an equidigital number, since it uses as much as digits as its factorization.

11668400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398966 (or 2398952 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

Adding to 11668400384 its reverse (48300486611), we get a palindrome (59968886995).

The spelling of 11668400384 in words is "eleven billion, six hundred sixty-eight million, four hundred thousand, three hundred eighty-four".