166556105118 has 64 divisors (see below), whose sum is σ = 399036798720. Its totient is φ = 51191333856.

The previous prime is 166556105117. The next prime is 166556105119. The reversal of 166556105118 is 811501655661.

166556105118 is a `hidden beast` number, since 16 + 6 + 5 + 5 + 610 + 5 + 1 + 18 = 666.

It is an interprime number because it is at equal distance from previous prime (166556105117) and next prime (166556105119).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166556105117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505921 + ... + 767507.

It is an arithmetic number, because the mean of its divisors is an integer number (6234949980).

Almost surely, 2^166556105118 is an apocalyptic number.

166556105118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166556105118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199518399360).

166556105118 is an abundant number, since it is smaller than the sum of its proper divisors (232480693602).

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

166556105118 is a wasteful number, since it uses less digits than its factorization.

166556105118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262518 (or 262512 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 166556105118 in words is "one hundred sixty-six billion, five hundred fifty-six million, one hundred five thousand, one hundred eighteen".