165662625516066 has 24 divisors (see below), whose sum is σ = 410212215563904. Its totient is φ = 47332178718840.

The previous prime is 165662625516001. The next prime is 165662625516097. The reversal of 165662625516066 is 660615526266561.

165662625516066 is a `hidden beast` number, since 1 + 6 + 56 + 6 + 2 + 6 + 2 + 5 + 516 + 0 + 66 = 666.

165662625516066 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 165662625515994 and 165662625516012.

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, 657391370970 + ... + 657391371221.

It is an arithmetic number, because the mean of its divisors is an integer number (17092175648496).

Almost surely, 2^{165662625516066} is an apocalyptic number.

165662625516066 is an abundant number, since it is smaller than the sum of its proper divisors (244549590047838).

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

165662625516066 is a wasteful number, since it uses less digits than its factorization.

165662625516066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314782742206 (or 1314782742203 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 165662625516066 in words is "one hundred sixty-five trillion, six hundred sixty-two billion, six hundred twenty-five million, five hundred sixteen thousand, sixty-six".