844660304352 has 480 divisors, whose sum is σ = 2740942955520. Its totient is φ = 254002728960.

The previous prime is 844660304263. The next prime is 844660304353. The reversal of 844660304352 is 253403066448.

844660304352 is a `hidden beast` number, since 8 + 4 + 4 + 6 + 603 + 0 + 4 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 844660304298 and 844660304307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844660304353) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 146157399 + ... + 146163177.

It is an arithmetic number, because the mean of its divisors is an integer number (5710297824).

Almost surely, 2^844660304352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844660304352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370471477760).

844660304352 is an abundant number, since it is smaller than the sum of its proper divisors (1896282651168).

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

844660304352 is a wasteful number, since it uses less digits than its factorization.

844660304352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 844660304352 in words is "eight hundred forty-four billion, six hundred sixty million, three hundred four thousand, three hundred fifty-two".