4186000116 has 36 divisors (see below), whose sum is σ = 10583697124. Its totient is φ = 1395014400.

The previous prime is 4186000081. The next prime is 4186000127. The reversal of 4186000116 is 6110006814.

4186000116 is a `hidden beast` number, since 41 + 8 + 600 + 0 + 1 + 16 = 666.

4186000116 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3053004516 + 1132995600 = 55254^2 + 33660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4186000116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188226 + ... + 209286.

Almost surely, 2^4186000116 is an apocalyptic number.

It is an amenable number.

4186000116 is an abundant number, since it is smaller than the sum of its proper divisors (6397697008).

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

4186000116 is a wasteful number, since it uses less digits than its factorization.

4186000116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26592 (or 26587 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4186000116 is about 64699.3053749420. The cubic root of 4186000116 is about 1611.6339668317.

It can be divided in two parts, 4186000 and 116, that added together give a square (4186116 = 2046²).

The spelling of 4186000116 in words is "four billion, one hundred eighty-six million, one hundred sixteen", and thus it is an aban number.