338114334114 has 48 divisors (see below), whose sum is σ = 753650194752. Its totient is φ = 109504665504.

The previous prime is 338114334113. The next prime is 338114334119. The reversal of 338114334114 is 411433411833.

338114334114 is a `hidden beast` number, since 33 + 81 + 1 + 433 + 4 + 114 = 666.

It is a super-2 number, since 2×338114334114² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (338114334113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1622212 + ... + 1818735.

It is an arithmetic number, because the mean of its divisors is an integer number (15701045724).

Almost surely, 2^338114334114 is an apocalyptic number.

338114334114 is an abundant number, since it is smaller than the sum of its proper divisors (415535860638).

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

338114334114 is a wasteful number, since it uses less digits than its factorization.

338114334114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441111 (or 3441108 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 338114334114 its reverse (411433411833), we get a palindrome (749547745947).

The spelling of 338114334114 in words is "three hundred thirty-eight billion, one hundred fourteen million, three hundred thirty-four thousand, one hundred fourteen".