834745347072 has 1760 divisors, whose sum is σ = 3267883203200. Its totient is φ = 210691031040.

The previous prime is 834745347061. The next prime is 834745347089. The reversal of 834745347072 is 270743547438.

834745347072 is a `hidden beast` number, since 8 + 3 + 474 + 5 + 34 + 70 + 72 = 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 159 ways as a sum of consecutive naturals, for example, 13684349922 + ... + 13684349982.

It is an arithmetic number, because the mean of its divisors is an integer number (1856751820).

Almost surely, 2^834745347072 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 834745347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633941601600).

834745347072 is an abundant number, since it is smaller than the sum of its proper divisors (2433137856128).

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

834745347072 is a wasteful number, since it uses less digits than its factorization.

834745347072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 54.

The spelling of 834745347072 in words is "eight hundred thirty-four billion, seven hundred forty-five million, three hundred forty-seven thousand, seventy-two".