846443344648 has 128 divisors (see below), whose sum is σ = 1767721190400. Its totient is φ = 376767417600.

The previous prime is 846443344603. The next prime is 846443344667.

846443344648 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 846443344592 and 846443344601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647622411 + ... + 647623717.

It is an arithmetic number, because the mean of its divisors is an integer number (13810321800).

Almost surely, 2^846443344648 is an apocalyptic number.

846443344648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 846443344648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883860595200).

846443344648 is an abundant number, since it is smaller than the sum of its proper divisors (921277845752).

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

846443344648 is a wasteful number, since it uses less digits than its factorization.

846443344648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2167 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 58.

The spelling of 846443344648 in words is "eight hundred forty-six billion, four hundred forty-three million, three hundred forty-four thousand, six hundred forty-eight".