216688105278624 has 192 divisors, whose sum is σ = 663417669600000. Its totient is φ = 61902791967744.

The previous prime is 216688105278607. The next prime is 216688105278643. The reversal of 216688105278624 is 426872501886612.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 253679002 + ... + 254531750.

It is an arithmetic number, because the mean of its divisors is an integer number (3455300362500).

Almost surely, 2^{216688105278624} is an apocalyptic number.

216688105278624 is a gapful number since it is divisible by the number (24) 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 216688105278624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331708834800000).

216688105278624 is an abundant number, since it is smaller than the sum of its proper divisors (446729564321376).

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

216688105278624 is an equidigital number, since it uses as much as digits as its factorization.

216688105278624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860500 (or 860478 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 66.

The spelling of 216688105278624 in words is "two hundred sixteen trillion, six hundred eighty-eight billion, one hundred five million, two hundred seventy-eight thousand, six hundred twenty-four".