216212765241312 has 432 divisors, whose sum is σ = 739978156139040. Its totient is φ = 59638841063424.

The previous prime is 216212765241301. The next prime is 216212765241413. The reversal of 216212765241312 is 213142567212612.

216212765241312 is a `hidden beast` number, since 2 + 1 + 6 + 21 + 2 + 76 + 5 + 241 + 312 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 5313246438 + ... + 5313287130.

It is an arithmetic number, because the mean of its divisors is an integer number (1712912398470).

Almost surely, 2^{216212765241312} 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 216212765241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369989078069520).

216212765241312 is an abundant number, since it is smaller than the sum of its proper divisors (523765390897728).

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

216212765241312 is a wasteful number, since it uses less digits than its factorization.

216212765241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53735 (or 53717 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 216212765241312 in words is "two hundred sixteen trillion, two hundred twelve billion, seven hundred sixty-five million, two hundred forty-one thousand, three hundred twelve".