844921901304 has 640 divisors, whose sum is σ = 2804105304000. Its totient is φ = 235188043776.

The previous prime is 844921901267. The next prime is 844921901309. The reversal of 844921901304 is 403109129448.

844921901304 is a `hidden beast` number, since 8 + 449 + 2 + 190 + 13 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 844921901304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844921901309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1615529187 + ... + 1615529709.

Almost surely, 2^844921901304 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 844921901304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402052652000).

844921901304 is an abundant number, since it is smaller than the sum of its proper divisors (1959183402696).

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

844921901304 is a wasteful number, since it uses less digits than its factorization.

844921901304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 844921901304 in words is "eight hundred forty-four billion, nine hundred twenty-one million, nine hundred one thousand, three hundred four".