846181648 has 30 divisors (see below), whose sum is σ = 1775297274. Its totient is φ = 390544128.

The previous prime is 846181643. The next prime is 846181667.

846181648 is nontrivially palindromic in base 10.

846181648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4717584 + 841464064 = 2172^2 + 29008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 846181598 and 846181607.

It is not an unprimeable number, because it can be changed into a prime (846181643) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 153765 + ... + 159172.

Almost surely, 2^846181648 is an apocalyptic number.

It is an amenable number.

846181648 is an abundant number, since it is smaller than the sum of its proper divisors (929115626).

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

846181648 is a wasteful number, since it uses less digits than its factorization.

846181648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312971 (or 312952 counting only the distinct ones).

The product of its digits is 294912, while the sum is 46.

The square root of 846181648 is about 29089.2015703422. The cubic root of 846181648 is about 945.8476751464.

It can be divided in two parts, 8461 and 81648, that added together give a palindrome (90109).

The spelling of 846181648 in words is "eight hundred forty-six million, one hundred eighty-one thousand, six hundred forty-eight".