334322434404112 has 320 divisors, whose sum is σ = 822007907555328. Its totient is φ = 127950497280000.

The previous prime is 334322434404103. The next prime is 334322434404151. The reversal of 334322434404112 is 211404434223433.

It is a happy number.

It is a super-2 number, since 2×334322434404112² (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 63 ways as a sum of consecutive naturals, for example, 36327544503 + ... + 36327553705.

Almost surely, 2^{334322434404112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334322434404112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411003953777664).

334322434404112 is an abundant number, since it is smaller than the sum of its proper divisors (487685473151216).

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

334322434404112 is a wasteful number, since it uses less digits than its factorization.

334322434404112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11598 (or 11592 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 334322434404112 its reverse (211404434223433), we get a palindrome (545726868627545).

The spelling of 334322434404112 in words is "three hundred thirty-four trillion, three hundred twenty-two billion, four hundred thirty-four million, four hundred four thousand, one hundred twelve".