334332314330112 has 264 divisors, whose sum is σ = 1110315693254976. Its totient is φ = 94915085451264.

The previous prime is 334332314330039. The next prime is 334332314330129. The reversal of 334332314330112 is 211033413233433.

334332314330112 is a `hidden beast` number, since 3 + 3 + 4 + 3 + 3 + 2 + 314 + 330 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×334332314330112² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6376338 + ... + 26633105.

Almost surely, 2^{334332314330112} is an apocalyptic number.

334332314330112 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 334332314330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555157846627488).

334332314330112 is an abundant number, since it is smaller than the sum of its proper divisors (775983378924864).

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

334332314330112 is a wasteful number, since it uses less digits than its factorization.

334332314330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33009633 (or 33009612 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 334332314330112 its reverse (211033413233433), we get a palindrome (545365727563545).

The spelling of 334332314330112 in words is "three hundred thirty-four trillion, three hundred thirty-two billion, three hundred fourteen million, three hundred thirty thousand, one hundred twelve".