8205358338 has 24 divisors (see below), whose sum is σ = 17825199600. Its totient is φ = 2727900504.

The previous prime is 8205358333. The next prime is 8205358351. The reversal of 8205358338 is 8338535028.

8205358338 is a `hidden beast` number, since 8 + 2 + 0 + 535 + 83 + 38 = 666.

It is a super-2 number, since 2×8205358338² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8205358293 and 8205358302.

It is not an unprimeable number, because it can be changed into a prime (8205358333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 594568 + ... + 608211.

It is an arithmetic number, because the mean of its divisors is an integer number (742716650).

Almost surely, 2^8205358338 is an apocalyptic number.

8205358338 is an abundant number, since it is smaller than the sum of its proper divisors (9619841262).

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

8205358338 is a wasteful number, since it uses less digits than its factorization.

8205358338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203166 (or 1203163 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 8205358338 is about 90583.4330217176. The cubic root of 8205358338 is about 2016.9688172855.

The spelling of 8205358338 in words is "eight billion, two hundred five million, three hundred fifty-eight thousand, three hundred thirty-eight".