844381626816 has 896 divisors, whose sum is σ = 2897053286400. Its totient is φ = 211191349248.

The previous prime is 844381626797. The next prime is 844381626839. The reversal of 844381626816 is 618626183448.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5666990710 + ... + 5666990858.

It is an arithmetic number, because the mean of its divisors is an integer number (3233318400).

Almost surely, 2^844381626816 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 844381626816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448526643200).

844381626816 is an abundant number, since it is smaller than the sum of its proper divisors (2052671659584).

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

844381626816 is a wasteful number, since it uses less digits than its factorization.

844381626816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 391 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 57.

The spelling of 844381626816 in words is "eight hundred forty-four billion, three hundred eighty-one million, six hundred twenty-six thousand, eight hundred sixteen".