846344242443648 has 128 divisors (see below), whose sum is σ = 2421074436127200. Its totient is φ = 260409135513600.

The previous prime is 846344242443629. The next prime is 846344242443649.

It is a happy number.

846344242443648 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (846344242443649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294942198 + ... + 297797898.

Almost surely, 2^{846344242443648} is an apocalyptic number.

It is an amenable number.

846344242443648 is an abundant number, since it is smaller than the sum of its proper divisors (1574730193683552).

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

846344242443648 is a wasteful number, since it uses less digits than its factorization.

846344242443648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915100 (or 2915088 counting only the distinct ones).

The product of its digits is 1358954496, while the sum is 66.

The spelling of 846344242443648 in words is "eight hundred forty-six trillion, three hundred forty-four billion, two hundred forty-two million, four hundred forty-three thousand, six hundred forty-eight".