11006662066063 has 16 divisors (see below), whose sum is σ = 12092479308000. Its totient is φ = 9981093957120.

The previous prime is 11006662066003. The next prime is 11006662066079. The reversal of 11006662066063 is 36066026660011.

11006662066063 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11006662066063 - 2¹³ = 11006662057871 is a prime.

It is a super-2 number, since 2×11006662066063² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006662066003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133253238 + ... + 133335811.

It is an arithmetic number, because the mean of its divisors is an integer number (755779956750).

Almost surely, 2^{11006662066063} is an apocalyptic number.

11006662066063 is a deficient number, since it is larger than the sum of its proper divisors (1085817241937).

11006662066063 is a wasteful number, since it uses less digits than its factorization.

11006662066063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266589162.

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 11006662066063 in words is "eleven trillion, six billion, six hundred sixty-two million, sixty-six thousand, sixty-three".