11006644660011 has 384 divisors, whose sum is σ = 24434703820800. Its totient is φ = 4578767585280.

The previous prime is 11006644660003. The next prime is 11006644660013.

11006644660011 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 6 + 4 + 46 + 600 + 1 + 1 = 666.

11006644660011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11006644660011 - 2³ = 11006644660003 is a prime.

It is a super-2 number, since 2×11006644660011² (a number of 27 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11006644660013) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 107615445 + ... + 107717673.

It is an arithmetic number, because the mean of its divisors is an integer number (63632041200).

Almost surely, 2^{11006644660011} is an apocalyptic number.

11006644660011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11006644660011 is an abundant number, since it is smaller than the sum of its proper divisors (13428059160789).

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

11006644660011 is a wasteful number, since it uses less digits than its factorization.

11006644660011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102339 (or 102336 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 1100664 and 4660011, that added together give a palindrome (5760675).

The spelling of 11006644660011 in words is "eleven trillion, six billion, six hundred forty-four million, six hundred sixty thousand, eleven".