11664000000 has 539 divisors, whose sum is σ = 43698093001. Its totient is φ = 3110400000.

The previous prime is 11663999993. The next prime is 11664000001. The reversal of 11664000000 is 46611.

The square root of 11664000000 is 108000.

It is a perfect power (a square), and thus also a powerful number.

11664000000 is a `hidden beast` number, since 1 + 1 + 664 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10218783744 + 1445216256 = 101088^2 + 38016^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11664000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 2332799998 + ... + 2332800002.

Almost surely, 2^11664000000 is an apocalyptic number.

11664000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11664000000 is the 108000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11664000000

11664000000 is an abundant number, since it is smaller than the sum of its proper divisors (32034093001).

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

11664000000 is an frugal number, since it uses more digits than its factorization.

11664000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Multiplying 11664000000 by its product of nonzero digits (144), we get a square (1679616000000 = 1296000²).

11664000000 divided by its product of nonzero digits (144) gives a square (81000000 = 9000²).

Adding to 11664000000 its reverse (46611), we get a palindrome (11664046611).

The spelling of 11664000000 in words is "eleven billion, six hundred sixty-four million", and thus it is an aban number.