334143044928 has 504 divisors, whose sum is σ = 1206237928896. Its totient is φ = 86566993920.

The previous prime is 334143044887. The next prime is 334143045013. The reversal of 334143044928 is 829440341433.

334143044928 is a `hidden beast` number, since 334 + 1 + 4 + 304 + 4 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×334143044928² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 281501551 + ... + 281502737.

It is an arithmetic number, because the mean of its divisors is an integer number (2393329224).

Almost surely, 2^334143044928 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 334143044928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603118964448).

334143044928 is an abundant number, since it is smaller than the sum of its proper divisors (872094883968).

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

334143044928 is a wasteful number, since it uses less digits than its factorization.

334143044928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 334143044928 in words is "three hundred thirty-four billion, one hundred forty-three million, forty-four thousand, nine hundred twenty-eight".