844225426176 has 288 divisors, whose sum is σ = 2560984570368. Its totient is φ = 244389150720.

The previous prime is 844225426151. The next prime is 844225426229. The reversal of 844225426176 is 671624522448.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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, 182060530 + ... + 182065166.

It is an arithmetic number, because the mean of its divisors is an integer number (8892307536).

Almost surely, 2^844225426176 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 844225426176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280492285184).

844225426176 is an abundant number, since it is smaller than the sum of its proper divisors (1716759144192).

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

844225426176 is a wasteful number, since it uses less digits than its factorization.

844225426176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5627 (or 5613 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 51.

The spelling of 844225426176 in words is "eight hundred forty-four billion, two hundred twenty-five million, four hundred twenty-six thousand, one hundred seventy-six".