846446644648 has 64 divisors (see below), whose sum is σ = 1753526880000. Its totient is φ = 379846176000.

The previous prime is 846446644613. The next prime is 846446644679.

It is a happy number.

846446644648 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×846446644648³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 846446644648.

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 15 ways as a sum of consecutive naturals, for example, 2965473 + ... + 3238351.

It is an arithmetic number, because the mean of its divisors is an integer number (27398857500).

Almost surely, 2^846446644648 is an apocalyptic number.

846446644648 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 846446644648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876763440000).

846446644648 is an abundant number, since it is smaller than the sum of its proper divisors (907080235352).

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

846446644648 is a wasteful number, since it uses less digits than its factorization.

846446644648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273346 (or 273342 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 64.

The spelling of 846446644648 in words is "eight hundred forty-six billion, four hundred forty-six million, six hundred forty-four thousand, six hundred forty-eight".