11201366016 has 192 divisors, whose sum is σ = 33407337600. Its totient is φ = 3708370944.

The previous prime is 11201366003. The next prime is 11201366023. The reversal of 11201366016 is 61066310211.

11201366016 is a `hidden beast` number, since 1 + 1 + 20 + 1 + 36 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9233826 + ... + 9235038.

It is an arithmetic number, because the mean of its divisors is an integer number (173996550).

Almost surely, 2^11201366016 is an apocalyptic number.

11201366016 is a gapful number since it is divisible by the number (16) 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 11201366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16703668800).

11201366016 is an abundant number, since it is smaller than the sum of its proper divisors (22205971584).

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

11201366016 is a wasteful number, since it uses less digits than its factorization.

11201366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 11201366016 its reverse (61066310211), we get a palindrome (72267676227).

The spelling of 11201366016 in words is "eleven billion, two hundred one million, three hundred sixty-six thousand, sixteen".