166161665506167 has 36 divisors (see below), whose sum is σ = 250355098919016. Its totient is φ = 106171874487360.

The previous prime is 166161665506127. The next prime is 166161665506267. The reversal of 166161665506167 is 761605566161661.

166161665506167 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 6 + 1 + 6 + 6 + 5 + 5 + 0 + 616 + 7 = 666.

It is not a de Polignac number, because 166161665506167 - 2³⁵ = 166127305767799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166161665506127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99816684 + ... + 101467697.

It is an arithmetic number, because the mean of its divisors is an integer number (6954308303306).

Almost surely, 2^{166161665506167} is an apocalyptic number.

166161665506167 is a deficient number, since it is larger than the sum of its proper divisors (84193433412849).

166161665506167 is a wasteful number, since it uses less digits than its factorization.

166161665506167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201284528 (or 201284488 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 166161665506167 in words is "one hundred sixty-six trillion, one hundred sixty-one billion, six hundred sixty-five million, five hundred six thousand, one hundred sixty-seven".