861830009104 has 135 divisors (see below), whose sum is σ = 1774355567439. Its totient is φ = 405502406400.

The previous prime is 861830009081. The next prime is 861830009107. The reversal of 861830009104 is 401900038168.

The square root of 861830009104 is 928348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 54074851600 + 807755157504 = 232540^2 + 898752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (861830009107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5707483429 + ... + 5707483579.

Almost surely, 2^861830009104 is an apocalyptic number.

861830009104 is the 928348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861830009104

861830009104 is an abundant number, since it is smaller than the sum of its proper divisors (912525558335).

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

861830009104 is an equidigital number, since it uses as much as digits as its factorization.

861830009104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 861830009104 in words is "eight hundred sixty-one billion, eight hundred thirty million, nine thousand, one hundred four".