338683958080 has 112 divisors (see below), whose sum is σ = 884916872784. Its totient is φ = 122692976640.

The previous prime is 338683958069. The next prime is 338683958087. The reversal of 338683958080 is 80859386833.

It can be written as a sum of positive squares in 8 ways, for example, as 77693757696 + 260990200384 = 278736^2 + 510872^2 .

It is a super-2 number, since 2×338683958080² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338683958087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547581 + ... + 988540.

It is an arithmetic number, because the mean of its divisors is an integer number (7901043507).

Almost surely, 2^338683958080 is an apocalyptic number.

It is an amenable number.

338683958080 is an abundant number, since it is smaller than the sum of its proper divisors (546232914704).

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

338683958080 is a wasteful number, since it uses less digits than its factorization.

338683958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536204 (or 1536194 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 338683958080 in words is "three hundred thirty-eight billion, six hundred eighty-three million, nine hundred fifty-eight thousand, eighty".