338971831255200 has 864 divisors, whose sum is σ = 1380038585752512. Its totient is φ = 71391830016000.

The previous prime is 338971831255163. The next prime is 338971831255297. The reversal of 338971831255200 is 2552138179833.

It is a super-2 number, since 2×338971831255200² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73612630 + ... + 78081770.

It is an arithmetic number, because the mean of its divisors is an integer number (1597266881658).

Almost surely, 2^{338971831255200} is an apocalyptic number.

338971831255200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338971831255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690019292876256).

338971831255200 is an abundant number, since it is smaller than the sum of its proper divisors (1041066754497312).

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

338971831255200 is a wasteful number, since it uses less digits than its factorization.

338971831255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469218 (or 4469192 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 338971831255200 in words is "three hundred thirty-eight trillion, nine hundred seventy-one billion, eight hundred thirty-one million, two hundred fifty-five thousand, two hundred".