338562223321 has 27 divisors (see below), whose sum is σ = 398259590463. Its totient is φ = 286973845200.

The previous prime is 338562223313. The next prime is 338562223327. The reversal of 338562223321 is 123322265833.

The square root of 338562223321 is 581861.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 325286574921 + 13275648400 = 570339^2 + 115220^2 .

It is not a de Polignac number, because 338562223321 - 2³ = 338562223313 is a prime.

It is a super-2 number, since 2×338562223321² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338562223327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 411375316 + ... + 411376138.

Almost surely, 2^338562223321 is an apocalyptic number.

338562223321 is the 581861-st square number.

338562223321 is the 290931-st centered octagonal number.

It is an amenable number.

338562223321 is a deficient number, since it is larger than the sum of its proper divisors (59697367142).

338562223321 is an frugal number, since it uses more digits than its factorization.

338562223321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 931 counting only the distinct ones).

The product of its digits is 311040, while the sum is 40.

The spelling of 338562223321 in words is "three hundred thirty-eight billion, five hundred sixty-two million, two hundred twenty-three thousand, three hundred twenty-one".