338612352628704 has 288 divisors, whose sum is σ = 1177017306667776. Its totient is φ = 84127292282880.

The previous prime is 338612352628661. The next prime is 338612352628709. The reversal of 338612352628704 is 407826253216833.

It is a super-2 number, since 2×338612352628704² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338612352628709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141070597 + ... + 143450820.

It is an arithmetic number, because the mean of its divisors is an integer number (4086865648152).

Almost surely, 2^{338612352628704} is an apocalyptic number.

It is an amenable number.

338612352628704 is an abundant number, since it is smaller than the sum of its proper divisors (838404954039072).

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

338612352628704 is a wasteful number, since it uses less digits than its factorization.

338612352628704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284521478 (or 284521463 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 338612352628704 in words is "three hundred thirty-eight trillion, six hundred twelve billion, three hundred fifty-two million, six hundred twenty-eight thousand, seven hundred four".