338322218528 has 162 divisors, whose sum is σ = 798336213759. Its totient is φ = 140721090048.

The previous prime is 338322218527. The next prime is 338322218539. The reversal of 338322218528 is 825812223833.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 330087019024 + 8235199504 = 574532^2 + 90748^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=411292.

It is a super-2 number, since 2×338322218528² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338322218527) 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, 852196826 + ... + 852197222.

Almost surely, 2^338322218528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338322218528

338322218528 is an abundant number, since it is smaller than the sum of its proper divisors (460013995231).

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

338322218528 is an frugal number, since it uses more digits than its factorization.

338322218528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 443 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 47.

The spelling of 338322218528 in words is "three hundred thirty-eight billion, three hundred twenty-two million, two hundred eighteen thousand, five hundred twenty-eight".