834094317024 has 240 divisors, whose sum is σ = 2599279562880. Its totient is φ = 261651513600.

The previous prime is 834094316933. The next prime is 834094317073. The reversal of 834094317024 is 420713490438.

834094317024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7380367 + ... + 7492529.

It is an arithmetic number, because the mean of its divisors is an integer number (10830331512).

Almost surely, 2^834094317024 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 834094317024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299639781440).

834094317024 is an abundant number, since it is smaller than the sum of its proper divisors (1765185245856).

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

834094317024 is a wasteful number, since it uses less digits than its factorization.

834094317024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112355 (or 112338 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 834094317024 in words is "eight hundred thirty-four billion, ninety-four million, three hundred seventeen thousand, twenty-four".