834341419392 has 256 divisors, whose sum is σ = 2421563558400. Its totient is φ = 252996452352.

The previous prime is 834341419381. The next prime is 834341419451. The reversal of 834341419392 is 293914143438.

It is a super-2 number, since 2×834341419392² (a number of 25 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100969053 + ... + 100977315.

It is an arithmetic number, because the mean of its divisors is an integer number (9459232650).

Almost surely, 2^834341419392 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 834341419392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210781779200).

834341419392 is an abundant number, since it is smaller than the sum of its proper divisors (1587222139008).

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

834341419392 is a wasteful number, since it uses less digits than its factorization.

834341419392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585 (or 8573 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The spelling of 834341419392 in words is "eight hundred thirty-four billion, three hundred forty-one million, four hundred nineteen thousand, three hundred ninety-two".