66212221266 has 48 divisors (see below), whose sum is σ = 147081582648. Its totient is φ = 21514444800.

The previous prime is 66212221261. The next prime is 66212221331.

66212221266 is a `hidden beast` number, since 6 + 621 + 2 + 2 + 2 + 1 + 26 + 6 = 666.

66212221266 is nontrivially palindromic in base 10.

66212221266 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26202220641 + 40010000625 = 161871^2 + 200025^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 66212221266.

It is not an unprimeable number, because it can be changed into a prime (66212221261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861286 + ... + 935006.

Almost surely, 2^66212221266 is an apocalyptic number.

66212221266 is an abundant number, since it is smaller than the sum of its proper divisors (80869361382).

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

66212221266 is a wasteful number, since it uses less digits than its factorization.

66212221266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74987 (or 74984 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 66212221266 in words is "sixty-six billion, two hundred twelve million, two hundred twenty-one thousand, two hundred sixty-six".