804166163136 has 224 divisors, whose sum is σ = 2711809013760. Its totient is φ = 228912998400.

The previous prime is 804166163113. The next prime is 804166163147. The reversal of 804166163136 is 631361661408.

804166163136 is a `hidden beast` number, since 8 + 0 + 4 + 1 + 6 + 6 + 1 + 631 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 804166163091 and 804166163100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3155356 + ... + 3400676.

It is an arithmetic number, because the mean of its divisors is an integer number (12106290240).

Almost surely, 2^804166163136 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 804166163136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355904506880).

804166163136 is an abundant number, since it is smaller than the sum of its proper divisors (1907642850624).

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

804166163136 is a wasteful number, since it uses less digits than its factorization.

804166163136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245620 (or 245604 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 804166163136 in words is "eight hundred four billion, one hundred sixty-six million, one hundred sixty-three thousand, one hundred thirty-six".