11006661314110 has 64 divisors (see below), whose sum is σ = 25275097419264. Its totient is φ = 3350865168000.

The previous prime is 11006661314107. The next prime is 11006661314111. The reversal of 11006661314110 is 1141316660011.

It is a happy number.

It is a super-2 number, since 2×11006661314110² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006661314111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166180441 + ... + 166246660.

It is an arithmetic number, because the mean of its divisors is an integer number (394923397176).

Almost surely, 2^{11006661314110} is an apocalyptic number.

11006661314110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11006661314110 is an abundant number, since it is smaller than the sum of its proper divisors (14268436105154).

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

11006661314110 is a wasteful number, since it uses less digits than its factorization.

11006661314110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332427169.

The product of its (nonzero) digits is 2592, while the sum is 31.

Adding to 11006661314110 its reverse (1141316660011), we get a palindrome (12147977974121).

The spelling of 11006661314110 in words is "eleven trillion, six billion, six hundred sixty-one million, three hundred fourteen thousand, one hundred ten".