338395841372160 has 2688 divisors, whose sum is σ = 1496185522329600. Its totient is φ = 71731139051520.

The previous prime is 338395841372159. The next prime is 338395841372177. The reversal of 338395841372160 is 61273148593833.

338395841372160 is a `hidden beast` number, since 3 + 3 + 8 + 3 + 9 + 58 + 413 + 7 + 2 + 160 = 666.

It is a super-2 number, since 2×338395841372160² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39062195989 + ... + 39062204651.

It is a 1-persistent number, because it is pandigital, but 2⋅338395841372160 = 676791682744320 is not.

Almost surely, 2^{338395841372160} is an apocalyptic number.

338395841372160 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 338395841372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748092761164800).

338395841372160 is an abundant number, since it is smaller than the sum of its proper divisors (1157789680957440).

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

338395841372160 is a wasteful number, since it uses less digits than its factorization.

338395841372160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8759 (or 8716 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 338395841372160 in words is "three hundred thirty-eight trillion, three hundred ninety-five billion, eight hundred forty-one million, three hundred seventy-two thousand, one hundred sixty".