829834831084 has 54 divisors (see below), whose sum is σ = 1701768252660. Its totient is φ = 353020936464.

The previous prime is 829834831057. The next prime is 829834831087. The reversal of 829834831084 is 480138438928.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (829834831087) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 150356877 + ... + 150362395.

Almost surely, 2^829834831084 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 829834831084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850884126330).

829834831084 is an abundant number, since it is smaller than the sum of its proper divisors (871933421576).

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

829834831084 is an equidigital number, since it uses as much as digits as its factorization.

829834831084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11195 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 58.

The spelling of 829834831084 in words is "eight hundred twenty-nine billion, eight hundred thirty-four million, eight hundred thirty-one thousand, eighty-four".