114971166 has 48 divisors (see below), whose sum is σ = 263203200. Its totient is φ = 36170064.

The previous prime is 114971161. The next prime is 114971183. The reversal of 114971166 is 661179411.

114971166 is a `hidden beast` number, since 1 + 1 + 497 + 1 + 166 = 666.

It is a super-2 number, since 2×114971166² = 26436738022799112, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114971166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114971161) 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, 129175 + ... + 130061.

It is an arithmetic number, because the mean of its divisors is an integer number (5483400).

Almost surely, 2^114971166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114971166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131601600).

114971166 is an abundant number, since it is smaller than the sum of its proper divisors (148232034).

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

114971166 is a wasteful number, since it uses less digits than its factorization.

114971166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1290 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 114971166 is about 10722.4608183010. The cubic root of 114971166 is about 486.2537667756.

The spelling of 114971166 in words is "one hundred fourteen million, nine hundred seventy-one thousand, one hundred sixty-six".