11181627666 has 120 divisors (see below), whose sum is σ = 28213668252. Its totient is φ = 3305491200.

The previous prime is 11181627601. The next prime is 11181627727. The reversal of 11181627666 is 66672618111.

It can be written as a sum of positive squares in 2 ways, for example, as 10702937025 + 478690641 = 103455^2 + 21879^2 .

It is a super-2 number, since 2×11181627666² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 796726 + ... + 810638.

Almost surely, 2^11181627666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11181627666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106834126).

11181627666 is an abundant number, since it is smaller than the sum of its proper divisors (17032040586).

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

11181627666 is a wasteful number, since it uses less digits than its factorization.

11181627666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13990 (or 13970 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 11181627666 in words is "eleven billion, one hundred eighty-one million, six hundred twenty-seven thousand, six hundred sixty-six".