846604406648 has 192 divisors, whose sum is σ = 2190864503520. Its totient is φ = 301456512000.

The previous prime is 846604406611. The next prime is 846604406663.

846604406648 is nontrivially palindromic in base 10.

846604406648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 846604406593 and 846604406602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5586890 + ... + 5736422.

Almost surely, 2^846604406648 is an apocalyptic number.

846604406648 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 846604406648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095432251760).

846604406648 is an abundant number, since it is smaller than the sum of its proper divisors (1344260096872).

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

846604406648 is a wasteful number, since it uses less digits than its factorization.

846604406648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149678 (or 149667 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 56.

The spelling of 846604406648 in words is "eight hundred forty-six billion, six hundred four million, four hundred six thousand, six hundred forty-eight".