8400504822165 has 12 divisors (see below), whose sum is σ = 14560875025164. Its totient is φ = 4480269238464.

The previous prime is 8400504822163. The next prime is 8400504822169. The reversal of 8400504822165 is 5612284050048.

8400504822165 is a `hidden beast` number, since 8 + 4 + 0 + 0 + 5 + 0 + 482 + 2 + 165 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6435399902481 + 1965104919684 = 2536809^2 + 1401822^2 .

It is not a de Polignac number, because 8400504822165 - 2¹ = 8400504822163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 186677884937 = 8400504822165 / (8 + 4 + 0 + 0 + 5 + 0 + 4 + 8 + 2 + 2 + 1 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 8400504822165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8400504822163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93338942424 + ... + 93338942513.

It is an arithmetic number, because the mean of its divisors is an integer number (1213406252097).

Almost surely, 2^{8400504822165} is an apocalyptic number.

It is an amenable number.

8400504822165 is a deficient number, since it is larger than the sum of its proper divisors (6160370202999).

8400504822165 is a wasteful number, since it uses less digits than its factorization.

8400504822165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186677884948 (or 186677884945 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 8400504822165 in words is "eight trillion, four hundred billion, five hundred four million, eight hundred twenty-two thousand, one hundred sixty-five".