334301441144112 has 480 divisors, whose sum is σ = 1097425879123392. Its totient is φ = 94041885966336.

The previous prime is 334301441144107. The next prime is 334301441144137. The reversal of 334301441144112 is 211441144103433.

334301441144112 is a `hidden beast` number, since 3 + 34 + 30 + 1 + 441 + 1 + 44 + 112 = 666.

It is a super-3 number, since 3×334301441144112³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 726280023 + ... + 726740169.

Almost surely, 2^{334301441144112} 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 334301441144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548712939561696).

334301441144112 is an abundant number, since it is smaller than the sum of its proper divisors (763124437979280).

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

334301441144112 is a wasteful number, since it uses less digits than its factorization.

334301441144112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460845 (or 460836 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 334301441144112 its reverse (211441144103433), we get a palindrome (545742585247545).

The spelling of 334301441144112 in words is "three hundred thirty-four trillion, three hundred one billion, four hundred forty-one million, one hundred forty-four thousand, one hundred twelve".