218304963072 has 360 divisors, whose sum is σ = 776032876476. Its totient is φ = 58702823424.

The previous prime is 218304963067. The next prime is 218304963113. The reversal of 218304963072 is 270369403812.

218304963072 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 0 + 4 + 9 + 630 + 7 + 2 = 666.

218304963072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 214687662336 + 3617300736 = 463344^2 + 60144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3810028 + ... + 3866900.

Almost surely, 2^218304963072 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 218304963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388016438238).

218304963072 is an abundant number, since it is smaller than the sum of its proper divisors (557727913404).

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

218304963072 is a wasteful number, since it uses less digits than its factorization.

218304963072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56928 (or 56902 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 218304963072 in words is "two hundred eighteen billion, three hundred four million, nine hundred sixty-three thousand, seventy-two".