846084480648 has 64 divisors (see below), whose sum is σ = 2309118926400. Its totient is φ = 256209703680.

The previous prime is 846084480629. The next prime is 846084480701.

It is a happy number.

846084480648 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 846084480591 and 846084480600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744111 + ... + 1498622.

It is an arithmetic number, because the mean of its divisors is an integer number (36079983225).

Almost surely, 2^846084480648 is an apocalyptic number.

846084480648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

846084480648 is an abundant number, since it is smaller than the sum of its proper divisors (1463034445752).

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

846084480648 is a wasteful number, since it uses less digits than its factorization.

846084480648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244182 (or 2244178 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 60.

The spelling of 846084480648 in words is "eight hundred forty-six billion, eighty-four million, four hundred eighty thousand, six hundred forty-eight".