834444959217 has 32 divisors (see below), whose sum is σ = 1183270809600. Its totient is φ = 521249611008.

The previous prime is 834444959209. The next prime is 834444959273. The reversal of 834444959217 is 712959444438.

834444959217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 834444959217 - 2³ = 834444959209 is a prime.

It is a super-3 number, since 3×834444959217³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (834444959917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72384708 + ... + 72396234.

It is an arithmetic number, because the mean of its divisors is an integer number (36977212800).

Almost surely, 2^834444959217 is an apocalyptic number.

It is an amenable number.

834444959217 is a deficient number, since it is larger than the sum of its proper divisors (348825850383).

834444959217 is a wasteful number, since it uses less digits than its factorization.

834444959217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17725.

The product of its digits is 34836480, while the sum is 60.

The spelling of 834444959217 in words is "eight hundred thirty-four billion, four hundred forty-four million, nine hundred fifty-nine thousand, two hundred seventeen".