114066216 has 72 divisors (see below), whose sum is σ = 339592890. Its totient is φ = 34562880.

The previous prime is 114066191. The next prime is 114066289. The reversal of 114066216 is 612660411.

It can be written as a sum of positive squares in only one way, i.e., 74753316 + 39312900 = 8646^2 + 6270^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×114066216² = 26022203265117312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114066216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2166 + ... + 15258.

Almost surely, 2^114066216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114066216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169796445).

114066216 is an abundant number, since it is smaller than the sum of its proper divisors (225526674).

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

114066216 is a wasteful number, since it uses less digits than its factorization.

114066216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13127 (or 13109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 114066216 is about 10680.1786501912. The cubic root of 114066216 is about 484.9746201336.

The spelling of 114066216 in words is "one hundred fourteen million, sixty-six thousand, two hundred sixteen".