804349486656 has 224 divisors, whose sum is σ = 2400875218560. Its totient is φ = 267327682560.

The previous prime is 804349486631. The next prime is 804349486657. The reversal of 804349486656 is 656684943408.

804349486656 is a `hidden beast` number, since 8 + 0 + 4 + 3 + 494 + 86 + 65 + 6 = 666.

804349486656 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 804349486593 and 804349486602.

It is not an unprimeable number, because it can be changed into a prime (804349486657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48560616 + ... + 48577176.

It is an arithmetic number, because the mean of its divisors is an integer number (10718192940).

Almost surely, 2^804349486656 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 804349486656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200437609280).

804349486656 is an abundant number, since it is smaller than the sum of its proper divisors (1596525731904).

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

804349486656 is an equidigital number, since it uses as much as digits as its factorization.

804349486656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16941 (or 16913 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 804349486656 in words is "eight hundred four billion, three hundred forty-nine million, four hundred eighty-six thousand, six hundred fifty-six".