116208287829 has 48 divisors (see below), whose sum is σ = 179818507440. Its totient is φ = 72061747200.

The previous prime is 116208287753. The next prime is 116208287851. The reversal of 116208287829 is 928782802611.

116208287829 is a `hidden beast` number, since 1 + 1 + 620 + 8 + 2 + 8 + 7 + 8 + 2 + 9 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11686691025 + 104521596804 = 108105^2 + 323298^2 .

It is not a de Polignac number, because 116208287829 - 2⁹ = 116208287317 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116208287329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6678789 + ... + 6696165.

It is an arithmetic number, because the mean of its divisors is an integer number (3746218905).

Almost surely, 2^116208287829 is an apocalyptic number.

It is an amenable number.

116208287829 is a deficient number, since it is larger than the sum of its proper divisors (63610219611).

116208287829 is a wasteful number, since it uses less digits than its factorization.

116208287829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17910 (or 17907 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 116208287829 in words is "one hundred sixteen billion, two hundred eight million, two hundred eighty-seven thousand, eight hundred twenty-nine".