338319909242304 has 224 divisors, whose sum is σ = 1010244066416640. Its totient is φ = 98980398182400.

The previous prime is 338319909242303. The next prime is 338319909242309. The reversal of 338319909242304 is 403242909913833.

It is a super-2 number, since 2×338319909242304² (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 (338319909242303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1158114882 + ... + 1158406974.

Almost surely, 2^{338319909242304} 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 338319909242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505122033208320).

338319909242304 is an abundant number, since it is smaller than the sum of its proper divisors (671924157174336).

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

338319909242304 is a wasteful number, since it uses less digits than its factorization.

338319909242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311059 (or 311049 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 60.

The spelling of 338319909242304 in words is "three hundred thirty-eight trillion, three hundred nineteen billion, nine hundred nine million, two hundred forty-two thousand, three hundred four".