846332233648 has 40 divisors (see below), whose sum is σ = 1795296589200. Its totient is φ = 383307651840.

The previous prime is 846332233619. The next prime is 846332233657.

846332233648 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×846332233648² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 846332233595 and 846332233604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8631223 + ... + 8728726.

It is an arithmetic number, because the mean of its divisors is an integer number (44882414730).

Almost surely, 2^846332233648 is an apocalyptic number.

846332233648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

846332233648 is an abundant number, since it is smaller than the sum of its proper divisors (948964355552).

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

846332233648 is a wasteful number, since it uses less digits than its factorization.

846332233648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17360245 (or 17360239 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 52.

The spelling of 846332233648 in words is "eight hundred forty-six billion, three hundred thirty-two million, two hundred thirty-three thousand, six hundred forty-eight".