804904362225 has 192 divisors, whose sum is σ = 1586775225600. Its totient is φ = 398602874880.

The previous prime is 804904362217. The next prime is 804904362239. The reversal of 804904362225 is 522263409408.

804904362225 is a `hidden beast` number, since 80 + 490 + 4 + 3 + 62 + 2 + 25 = 666.

It is not a de Polignac number, because 804904362225 - 2³ = 804904362217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 330283707 + ... + 330286143.

It is an arithmetic number, because the mean of its divisors is an integer number (8264454300).

Almost surely, 2^804904362225 is an apocalyptic number.

804904362225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

804904362225 is a deficient number, since it is larger than the sum of its proper divisors (781870863375).

804904362225 is a wasteful number, since it uses less digits than its factorization.

804904362225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 804904362225 in words is "eight hundred four billion, nine hundred four million, three hundred sixty-two thousand, two hundred twenty-five".