834309808128 has 336 divisors, whose sum is σ = 2534974880256. Its totient is φ = 274139873280.

The previous prime is 834309808097. The next prime is 834309808139. The reversal of 834309808128 is 821808903438.

It is a happy number.

834309808128 is a `hidden beast` number, since 8 + 3 + 430 + 9 + 80 + 8 + 128 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141333625 + ... + 141339527.

It is an arithmetic number, because the mean of its divisors is an integer number (7544568096).

Almost surely, 2^834309808128 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 834309808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267487440128).

834309808128 is an abundant number, since it is smaller than the sum of its proper divisors (1700665072128).

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

834309808128 is an frugal number, since it uses more digits than its factorization.

834309808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6015 (or 5979 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 834309808128 in words is "eight hundred thirty-four billion, three hundred nine million, eight hundred eight thousand, one hundred twenty-eight".