428165389665 has 80 divisors (see below), whose sum is σ = 827159533200. Its totient is φ = 210637905408.

The previous prime is 428165389637. The next prime is 428165389697. The reversal of 428165389665 is 566983561824.

It is a happy number.

428165389665 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 6 + 538 + 96 + 6 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 165845232081 + 262320157584 = 407241^2 + 512172^2 .

It is not a de Polignac number, because 428165389665 - 2⁷ = 428165389537 is a prime.

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 79 ways as a sum of consecutive naturals, for example, 7495231 + ... + 7552139.

It is an arithmetic number, because the mean of its divisors is an integer number (10339494165).

Almost surely, 2^428165389665 is an apocalyptic number.

428165389665 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428165389665 is a deficient number, since it is larger than the sum of its proper divisors (398994143535).

428165389665 is a wasteful number, since it uses less digits than its factorization.

428165389665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58368 (or 58359 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 428165389665 in words is "four hundred twenty-eight billion, one hundred sixty-five million, three hundred eighty-nine thousand, six hundred sixty-five".