844514074427904 has 480 divisors, whose sum is σ = 2581370051832000. Its totient is φ = 265051046707200.

The previous prime is 844514074427857. The next prime is 844514074427921. The reversal of 844514074427904 is 409724470415448.

844514074427904 is a `hidden beast` number, since 8 + 4 + 4 + 51 + 4 + 0 + 74 + 427 + 90 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49968281854 + ... + 49968298754.

It is an arithmetic number, because the mean of its divisors is an integer number (5377854274650).

Almost surely, 2^{844514074427904} 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 844514074427904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290685025916000).

844514074427904 is an abundant number, since it is smaller than the sum of its proper divisors (1736855977404096).

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

844514074427904 is a wasteful number, since it uses less digits than its factorization.

844514074427904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20416 (or 20397 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 844514074427904 in words is "eight hundred forty-four trillion, five hundred fourteen billion, seventy-four million, four hundred twenty-seven thousand, nine hundred four".