216686881063008 has 144 divisors (see below), whose sum is σ = 620411276040192. Its totient is φ = 71736918624000.

The previous prime is 216686881063007. The next prime is 216686881063027. The reversal of 216686881063008 is 800360188686612.

216686881063008 is a `hidden beast` number, since 2 + 166 + 8 + 68 + 8 + 106 + 300 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216686881063007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31588663 + ... + 37831433.

It is an arithmetic number, because the mean of its divisors is an integer number (4308411639168).

Almost surely, 2^{216686881063008} 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 216686881063008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310205638020096).

216686881063008 is an abundant number, since it is smaller than the sum of its proper divisors (403724394977184).

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

216686881063008 is a wasteful number, since it uses less digits than its factorization.

216686881063008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6243609 (or 6243598 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 216686881063008 in words is "two hundred sixteen trillion, six hundred eighty-six billion, eight hundred eighty-one million, sixty-three thousand, eight".