11201716224 has 168 divisors, whose sum is σ = 32624123220. Its totient is φ = 3703308288.

The previous prime is 11201716217. The next prime is 11201716237. The reversal of 11201716224 is 42261710211.

11201716224 is a `hidden beast` number, since 1 + 1 + 20 + 17 + 1 + 622 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10316058624 + 885657600 = 101568^2 + 29760^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10100182 + ... + 10101290.

Almost surely, 2^11201716224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201716224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312061610).

11201716224 is an abundant number, since it is smaller than the sum of its proper divisors (21422406996).

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

11201716224 is a wasteful number, since it uses less digits than its factorization.

11201716224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11201716224 in words is "eleven billion, two hundred one million, seven hundred sixteen thousand, two hundred twenty-four".