218871883017216 has 1584 divisors, whose sum is σ = 785821750232064. Its totient is φ = 57784762368000.

The previous prime is 218871883017209. The next prime is 218871883017217. The reversal of 218871883017216 is 612710388178812.

218871883017216 is a `hidden beast` number, since 2 + 1 + 8 + 87 + 188 + 301 + 72 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-4 number, since 4×218871883017216⁴ (a number of 58 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (218871883017217) 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 143 ways as a sum of consecutive naturals, for example, 68676459975 + ... + 68676463161.

Almost surely, 2^{218871883017216} is an apocalyptic number.

218871883017216 is a gapful number since it is divisible by the number (26) 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 218871883017216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392910875116032).

218871883017216 is an abundant number, since it is smaller than the sum of its proper divisors (566949867214848).

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

218871883017216 is a wasteful number, since it uses less digits than its factorization.

218871883017216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 63.

The spelling of 218871883017216 in words is "two hundred eighteen trillion, eight hundred seventy-one billion, eight hundred eighty-three million, seventeen thousand, two hundred sixteen".