844616821224 has 128 divisors (see below), whose sum is σ = 2404602547200. Its totient is φ = 244719720960.

The previous prime is 844616821219. The next prime is 844616821261. The reversal of 844616821224 is 422128616448.

It is a happy number.

844616821224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

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, 16119292 + ... + 16171604.

It is an arithmetic number, because the mean of its divisors is an integer number (18785957400).

Almost surely, 2^844616821224 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 844616821224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202301273600).

844616821224 is an abundant number, since it is smaller than the sum of its proper divisors (1559985725976).

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

844616821224 is a wasteful number, since it uses less digits than its factorization.

844616821224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55015 (or 55011 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The spelling of 844616821224 in words is "eight hundred forty-four billion, six hundred sixteen million, eight hundred twenty-one thousand, two hundred twenty-four".