844686246006 has 64 divisors (see below), whose sum is σ = 1909513440000. Its totient is φ = 276700239936.

The previous prime is 844686245993. The next prime is 844686246031. The reversal of 844686246006 is 600642686448.

844686246006 is a `hidden beast` number, since 8 + 4 + 4 + 6 + 8 + 6 + 24 + 600 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10182565 + ... + 10265183.

It is an arithmetic number, because the mean of its divisors is an integer number (29836147500).

Almost surely, 2^844686246006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844686246006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954756720000).

844686246006 is an abundant number, since it is smaller than the sum of its proper divisors (1064827193994).

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

844686246006 is a wasteful number, since it uses less digits than its factorization.

844686246006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85898 (or 85892 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 844686246006 in words is "eight hundred forty-four billion, six hundred eighty-six million, two hundred forty-six thousand, six".