218304801216 has 112 divisors (see below), whose sum is σ = 642554061600. Its totient is φ = 72680011776.

The previous prime is 218304801193. The next prime is 218304801259. The reversal of 218304801216 is 612108403812.

218304801216 is a `hidden beast` number, since 21 + 8 + 30 + 480 + 121 + 6 = 666.

It is a super-3 number, since 3×218304801216³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1356316 + ... + 1508708.

Almost surely, 2^218304801216 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 218304801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321277030800).

218304801216 is an abundant number, since it is smaller than the sum of its proper divisors (424249260384).

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

218304801216 is a wasteful number, since it uses less digits than its factorization.

218304801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153243 (or 153227 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 218304801216 in words is "two hundred eighteen billion, three hundred four million, eight hundred one thousand, two hundred sixteen".