338314394112000 has 832 divisors, whose sum is σ = 1166759166763008. Its totient is φ = 86956032000000.

The previous prime is 338314394111999. The next prime is 338314394112029. The reversal of 338314394112000 is 211493413833.

It is a super-2 number, since 2×338314394112000² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 11951601847 + ... + 11951630153.

It is an arithmetic number, because the mean of its divisors is an integer number (1402354767744).

Almost surely, 2^{338314394112000} is an apocalyptic number.

338314394112000 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 338314394112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583379583381504).

338314394112000 is an abundant number, since it is smaller than the sum of its proper divisors (828444772651008).

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

338314394112000 is a wasteful number, since it uses less digits than its factorization.

338314394112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28631 (or 28599 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 338314394112000 in words is "three hundred thirty-eight trillion, three hundred fourteen billion, three hundred ninety-four million, one hundred twelve thousand".