334541104128 has 880 divisors, whose sum is σ = 1272120432000. Its totient is φ = 86812508160.

The previous prime is 334541104103. The next prime is 334541104129. The reversal of 334541104128 is 821401145433.

334541104128 is a `hidden beast` number, since 3 + 3 + 4 + 541 + 104 + 1 + 2 + 8 = 666.

It is a super-3 number, since 3×334541104128³ (a number of 36 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 a junction number, because it is equal to n+sod(n) for n = 334541104092 and 334541104101.

It is not an unprimeable number, because it can be changed into a prime (334541104129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 312947178 + ... + 312948246.

It is an arithmetic number, because the mean of its divisors is an integer number (1445591400).

Almost surely, 2^334541104128 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 334541104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636060216000).

334541104128 is an abundant number, since it is smaller than the sum of its proper divisors (937579327872).

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

334541104128 is a wasteful number, since it uses less digits than its factorization.

334541104128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 334541104128 in words is "three hundred thirty-four billion, five hundred forty-one million, one hundred four thousand, one hundred twenty-eight".