11206947168 has 144 divisors (see below), whose sum is σ = 33040360080. Its totient is φ = 3600350208.

The previous prime is 11206947121. The next prime is 11206947181. The reversal of 11206947168 is 86174960211.

11206947168 is a `hidden beast` number, since 112 + 0 + 6 + 9 + 471 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135278 + ... + 1145106.

It is an arithmetic number, because the mean of its divisors is an integer number (229446945).

Almost surely, 2^11206947168 is an apocalyptic number.

11206947168 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 11206947168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16520180040).

11206947168 is an abundant number, since it is smaller than the sum of its proper divisors (21833412912).

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

11206947168 is a wasteful number, since it uses less digits than its factorization.

11206947168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9989 (or 9978 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11206947168 in words is "eleven billion, two hundred six million, nine hundred forty-seven thousand, one hundred sixty-eight".