905663067165 has 12 divisors (see below), whose sum is σ = 1569815983164. Its totient is φ = 483020302464.

The previous prime is 905663067151. The next prime is 905663067193. The reversal of 905663067165 is 561760366509.

905663067165 is a `hidden beast` number, since 9 + 0 + 566 + 3 + 0 + 6 + 71 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 448392283641 + 457270783524 = 669621^2 + 676218^2 .

It is not a de Polignac number, because 905663067165 - 2⁹ = 905663066653 is a prime.

It is a super-2 number, since 2×905663067165² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 10062922924 + ... + 10062923013.

It is an arithmetic number, because the mean of its divisors is an integer number (130817998597).

Almost surely, 2^905663067165 is an apocalyptic number.

It is an amenable number.

905663067165 is a deficient number, since it is larger than the sum of its proper divisors (664152915999).

905663067165 is a wasteful number, since it uses less digits than its factorization.

905663067165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20125845948 (or 20125845945 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 905663067165 in words is "nine hundred five billion, six hundred sixty-three million, sixty-seven thousand, one hundred sixty-five".