166830583167 has 24 divisors (see below), whose sum is σ = 242228068368. Its totient is φ = 110644704000.

The previous prime is 166830583147. The next prime is 166830583193. The reversal of 166830583167 is 761385038661.

166830583167 is a `hidden beast` number, since 16 + 6 + 8 + 30 + 583 + 16 + 7 = 666.

It is not a de Polignac number, because 166830583167 - 2⁷ = 166830583039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166830583147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1284192 + ... + 1408122.

It is an arithmetic number, because the mean of its divisors is an integer number (10092836182).

Almost surely, 2^166830583167 is an apocalyptic number.

166830583167 is a deficient number, since it is larger than the sum of its proper divisors (75397485201).

166830583167 is a wasteful number, since it uses less digits than its factorization.

166830583167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124711 (or 124708 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 166830583167 in words is "one hundred sixty-six billion, eight hundred thirty million, five hundred eighty-three thousand, one hundred sixty-seven".