338852066081984 has 112 divisors (see below), whose sum is σ = 832477939003200. Its totient is φ = 134051366412288.

The previous prime is 338852066081981. The next prime is 338852066081989. The reversal of 338852066081984 is 489180660258833.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×338852066081984² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338852066081981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171151889 + ... + 173120400.

It is an arithmetic number, because the mean of its divisors is an integer number (7432838741100).

Almost surely, 2^{338852066081984} is an apocalyptic number.

It is an amenable number.

338852066081984 is an abundant number, since it is smaller than the sum of its proper divisors (493625872921216).

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

338852066081984 is an equidigital number, since it uses as much as digits as its factorization.

338852066081984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344272347 (or 344272311 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 71.

The spelling of 338852066081984 in words is "three hundred thirty-eight trillion, eight hundred fifty-two billion, sixty-six million, eighty-one thousand, nine hundred eighty-four".