338058042698112 has 1536 divisors, whose sum is σ = 1099135743713280. Its totient is φ = 91559559168000.

The previous prime is 338058042698099. The next prime is 338058042698113. The reversal of 338058042698112 is 211896240850833.

It is a super-2 number, since 2×338058042698112² (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 (338058042698113) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 585889155168 + ... + 585889155744.

It is an arithmetic number, because the mean of its divisors is an integer number (715583166480).

Almost surely, 2^{338058042698112} is an apocalyptic number.

338058042698112 is a gapful number since it is divisible by the number (32) 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 338058042698112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549567871856640).

338058042698112 is an abundant number, since it is smaller than the sum of its proper divisors (761077701015168).

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

338058042698112 is a wasteful number, since it uses less digits than its factorization.

338058042698112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 338058042698112 in words is "three hundred thirty-eight trillion, fifty-eight billion, forty-two million, six hundred ninety-eight thousand, one hundred twelve".