216085813372368 has 240 divisors, whose sum is σ = 647109265106304. Its totient is φ = 67148676080640.

The previous prime is 216085813372361. The next prime is 216085813372379. The reversal of 216085813372368 is 863273318580612.

216085813372368 is a `hidden beast` number, since 2 + 1 + 60 + 8 + 5 + 8 + 1 + 337 + 236 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216085813372361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64008130 + ... + 67299422.

Almost surely, 2^{216085813372368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216085813372368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323554632553152).

216085813372368 is an abundant number, since it is smaller than the sum of its proper divisors (431023451733936).

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

216085813372368 is a wasteful number, since it uses less digits than its factorization.

216085813372368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3291834 (or 3291825 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 216085813372368 in words is "two hundred sixteen trillion, eighty-five billion, eight hundred thirteen million, three hundred seventy-two thousand, three hundred sixty-eight".