846436634648 has 96 divisors (see below), whose sum is σ = 1759911753600. Its totient is φ = 381352097280.

The previous prime is 846436634629. The next prime is 846436634713.

846436634648 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50287898 + ... + 50304726.

It is an arithmetic number, because the mean of its divisors is an integer number (18332414100).

Almost surely, 2^846436634648 is an apocalyptic number.

846436634648 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 846436634648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879955876800).

846436634648 is an abundant number, since it is smaller than the sum of its proper divisors (913475118952).

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

846436634648 is a wasteful number, since it uses less digits than its factorization.

846436634648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17313 (or 17298 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 62.

The spelling of 846436634648 in words is "eight hundred forty-six billion, four hundred thirty-six million, six hundred thirty-four thousand, six hundred forty-eight".