216811829707009 has 16 divisors (see below), whose sum is σ = 217348674060672. Its totient is φ = 216275653237248.

The previous prime is 216811829706973. The next prime is 216811829707021. The reversal of 216811829707009 is 900707928118612.

It is a cyclic number.

It is not a de Polignac number, because 216811829707009 - 2¹⁹ = 216811829182721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (216811829707409) 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 15 ways as a sum of consecutive naturals, for example, 8435260452 + ... + 8435286154.

It is an arithmetic number, because the mean of its divisors is an integer number (13584292128792).

Almost surely, 2^{216811829707009} is an apocalyptic number.

It is an amenable number.

216811829707009 is a deficient number, since it is larger than the sum of its proper divisors (536844353663).

216811829707009 is a wasteful number, since it uses less digits than its factorization.

216811829707009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37896.

The product of its (nonzero) digits is 6096384, while the sum is 61.

The spelling of 216811829707009 in words is "two hundred sixteen trillion, eight hundred eleven billion, eight hundred twenty-nine million, seven hundred seven thousand, nine".