6221136311226 has 48 divisors (see below), whose sum is σ = 14272526759400. Its totient is φ = 1951659546624.

The previous prime is 6221136311197. The next prime is 6221136311227.

6221136311226 is a `hidden beast` number, since 6 + 2 + 2 + 1 + 1 + 3 + 631 + 12 + 2 + 6 = 666.

6221136311226 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 6160497741225 + 60638570001 = 2482035^2 + 246249^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6221136311227) 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, 8609010 + ... + 9303618.

Almost surely, 2^{6221136311226} is an apocalyptic number.

6221136311226 is an abundant number, since it is smaller than the sum of its proper divisors (8051390448174).

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

6221136311226 is a wasteful number, since it uses less digits than its factorization.

6221136311226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723903 (or 723900 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 6221136311226 in words is "six trillion, two hundred twenty-one billion, one hundred thirty-six million, three hundred eleven thousand, two hundred twenty-six".