844908414672 has 240 divisors, whose sum is σ = 2620876697600. Its totient is φ = 229736694528.

The previous prime is 844908414641. The next prime is 844908414719. The reversal of 844908414672 is 276414809448.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 35359113 + ... + 35382999.

Almost surely, 2^844908414672 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 844908414672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310438348800).

844908414672 is an abundant number, since it is smaller than the sum of its proper divisors (1775968282928).

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

844908414672 is a wasteful number, since it uses less digits than its factorization.

844908414672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24150 (or 24121 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 844908414672 in words is "eight hundred forty-four billion, nine hundred eight million, four hundred fourteen thousand, six hundred seventy-two".