166167132532163 has 64 divisors (see below), whose sum is σ = 199778085752832. Its totient is φ = 135131332976640.

The previous prime is 166167132532129. The next prime is 166167132532201. The reversal of 166167132532163 is 361235231761661.

It is a de Polignac number, because none of the positive numbers 2^k-166167132532163 is a prime.

It is a super-3 number, since 3×166167132532163³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (166167132532663) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8663101433 + ... + 8663120613.

It is an arithmetic number, because the mean of its divisors is an integer number (3121532589888).

Almost surely, 2^{166167132532163} is an apocalyptic number.

166167132532163 is a deficient number, since it is larger than the sum of its proper divisors (33610953220669).

166167132532163 is a wasteful number, since it uses less digits than its factorization.

166167132532163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20364.

The product of its digits is 4898880, while the sum is 53.

The spelling of 166167132532163 in words is "one hundred sixty-six trillion, one hundred sixty-seven billion, one hundred thirty-two million, five hundred thirty-two thousand, one hundred sixty-three".