11722359168 has 288 divisors, whose sum is σ = 38461293000. Its totient is φ = 3415965696.

The previous prime is 11722359161. The next prime is 11722359179. The reversal of 11722359168 is 86195322711.

11722359168 is a `hidden beast` number, since 117 + 22 + 359 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11722359161) 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 35 ways as a sum of consecutive naturals, for example, 3697488 + ... + 3700656.

Almost surely, 2^11722359168 is an apocalyptic number.

11722359168 is a gapful number since it is divisible by the number (18) 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 11722359168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19230646500).

11722359168 is an abundant number, since it is smaller than the sum of its proper divisors (26738933832).

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

11722359168 is a wasteful number, since it uses less digits than its factorization.

11722359168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3206 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 11722359168 in words is "eleven billion, seven hundred twenty-two million, three hundred fifty-nine thousand, one hundred sixty-eight".