214163634342216 has 64 divisors (see below), whose sum is σ = 576861220293120. Its totient is φ = 65866009144320.

The previous prime is 214163634342209. The next prime is 214163634342227. The reversal of 214163634342216 is 612243436361412.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158146200 + ... + 159494663.

It is an arithmetic number, because the mean of its divisors is an integer number (9013456567080).

Almost surely, 2^{214163634342216} is an apocalyptic number.

214163634342216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

214163634342216 is an abundant number, since it is smaller than the sum of its proper divisors (362697585950904).

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

214163634342216 is a wasteful number, since it uses less digits than its factorization.

214163634342216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317643046 (or 317643042 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 214163634342216 in words is "two hundred fourteen trillion, one hundred sixty-three billion, six hundred thirty-four million, three hundred forty-two thousand, two hundred sixteen".