165590616033 has 40 divisors (see below), whose sum is σ = 253482374376. Its totient is φ = 107664940800.

The previous prime is 165590616011. The next prime is 165590616053. The reversal of 165590616033 is 330616095561.

165590616033 is a `hidden beast` number, since 1 + 6 + 559 + 0 + 6 + 1 + 60 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51246546129 + 114344069904 = 226377^2 + 338148^2 .

It is not a de Polignac number, because 165590616033 - 2⁶ = 165590615969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 165590616033.

It is not an unprimeable number, because it can be changed into a prime (165590616053) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12789343 + ... + 12802283.

Almost surely, 2^165590616033 is an apocalyptic number.

It is an amenable number.

165590616033 is a deficient number, since it is larger than the sum of its proper divisors (87891758343).

165590616033 is a wasteful number, since it uses less digits than its factorization.

165590616033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16847 (or 16838 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 165590616033 in words is "one hundred sixty-five billion, five hundred ninety million, six hundred sixteen thousand, thirty-three".