830219834896 has 75 divisors (see below), whose sum is σ = 1700609280063. Its totient is φ = 392638790880.

The previous prime is 830219834891. The next prime is 830219834933. The reversal of 830219834896 is 698438912038.

The square root of 830219834896 is 911164.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (830219834891) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 1315720501 + ... + 1315721131.

Almost surely, 2^830219834896 is an apocalyptic number.

830219834896 is the 911164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830219834896

830219834896 is an abundant number, since it is smaller than the sum of its proper divisors (870389445167).

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

830219834896 is an frugal number, since it uses more digits than its factorization.

830219834896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 61.

The spelling of 830219834896 in words is "eight hundred thirty billion, two hundred nineteen million, eight hundred thirty-four thousand, eight hundred ninety-six".