218084734272 has 112 divisors (see below), whose sum is σ = 580799082240. Its totient is φ = 72219721728.

The previous prime is 218084734229. The next prime is 218084734289. The reversal of 218084734272 is 272437480812.

It is a happy number.

218084734272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 20707504 + ... + 20718032.

Almost surely, 2^218084734272 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 218084734272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290399541120).

218084734272 is an abundant number, since it is smaller than the sum of its proper divisors (362714347968).

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

218084734272 is a wasteful number, since it uses less digits than its factorization.

218084734272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11240 (or 11230 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 218084734272 in words is "two hundred eighteen billion, eighty-four million, seven hundred thirty-four thousand, two hundred seventy-two".