216668777031168 has 640 divisors, whose sum is σ = 762668683223040. Its totient is φ = 52919439851520.

The previous prime is 216668777031167. The next prime is 216668777031199. The reversal of 216668777031168 is 861130777866612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216668777031163) 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 63 ways as a sum of consecutive naturals, for example, 2257882773 + ... + 2257978731.

It is an arithmetic number, because the mean of its divisors is an integer number (1191669817536).

Almost surely, 2^{216668777031168} is an apocalyptic number.

216668777031168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216668777031168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381334341611520).

216668777031168 is an abundant number, since it is smaller than the sum of its proper divisors (545999906191872).

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

216668777031168 is a wasteful number, since it uses less digits than its factorization.

216668777031168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97138 (or 97122 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 69.

The spelling of 216668777031168 in words is "two hundred sixteen trillion, six hundred sixty-eight billion, seven hundred seventy-seven million, thirty-one thousand, one hundred sixty-eight".