334102304444112 has 800 divisors, whose sum is σ = 1096819575244800. Its totient is φ = 97666720994304.

The previous prime is 334102304444071. The next prime is 334102304444147. The reversal of 334102304444112 is 211444403201433.

334102304444112 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 0 + 230 + 4 + 4 + 4 + 411 + 2 = 666.

It is a super-2 number, since 2×334102304444112² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2654428893 + ... + 2654554755.

It is an arithmetic number, because the mean of its divisors is an integer number (1371024469056).

Almost surely, 2^{334102304444112} 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 334102304444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548409787622400).

334102304444112 is an abundant number, since it is smaller than the sum of its proper divisors (762717270800688).

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

334102304444112 is a wasteful number, since it uses less digits than its factorization.

334102304444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126077 (or 126062 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 334102304444112 its reverse (211444403201433), we get a palindrome (545546707645545).

The spelling of 334102304444112 in words is "three hundred thirty-four trillion, one hundred two billion, three hundred four million, four hundred forty-four thousand, one hundred twelve".