338558868203121 has 12 divisors (see below), whose sum is σ = 489030320060100. Its totient is φ = 225705522704640.

The previous prime is 338558868203081. The next prime is 338558868203233. The reversal of 338558868203121 is 121302868855833.

It is a happy number.

338558868203121 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 588 + 6 + 8 + 20 + 3 + 1 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99908740830096 + 238650127373025 = 9995436^2 + 15448305^2 .

It is not a de Polignac number, because 338558868203121 - 2⁷ = 338558868202993 is a prime.

It is a super-2 number, since 2×338558868203121² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338558868203921) 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, 26896500 + ... + 37423781.

It is an arithmetic number, because the mean of its divisors is an integer number (40752526671675).

Almost surely, 2^{338558868203121} is an apocalyptic number.

It is an amenable number.

338558868203121 is a deficient number, since it is larger than the sum of its proper divisors (150471451856979).

338558868203121 is a wasteful number, since it uses less digits than its factorization.

338558868203121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64905136 (or 64905133 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 338558868203121 in words is "three hundred thirty-eight trillion, five hundred fifty-eight billion, eight hundred sixty-eight million, two hundred three thousand, one hundred twenty-one".