214155116829 has 12 divisors (see below), whose sum is σ = 320001899100. Its totient is φ = 137846971584.

The previous prime is 214155116797. The next prime is 214155116831. The reversal of 214155116829 is 928611551412.

214155116829 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 551 + 16 + 82 + 9 = 666.

214155116829 is digitally balanced in base 2, because in such base 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 50300172729 + 163854944100 = 224277^2 + 404790^2 .

It is not a de Polignac number, because 214155116829 - 2⁵ = 214155116797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214155116839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410258584 + ... + 410259105.

It is an arithmetic number, because the mean of its divisors is an integer number (26666824925).

Almost surely, 2^214155116829 is an apocalyptic number.

214155116829 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

214155116829 is a deficient number, since it is larger than the sum of its proper divisors (105846782271).

214155116829 is a wasteful number, since it uses less digits than its factorization.

214155116829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820517724 (or 820517721 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The spelling of 214155116829 in words is "two hundred fourteen billion, one hundred fifty-five million, one hundred sixteen thousand, eight hundred twenty-nine".