218273106288 has 160 divisors (see below), whose sum is σ = 602983263744. Its totient is φ = 67883385856.

The previous prime is 218273106287. The next prime is 218273106301. The reversal of 218273106288 is 882601372812.

It is a super-2 number, since 2×218273106288² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218273106283) 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 31 ways as a sum of consecutive naturals, for example, 10111795 + ... + 10133357.

Almost surely, 2^218273106288 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 218273106288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301491631872).

218273106288 is an abundant number, since it is smaller than the sum of its proper divisors (384710157456).

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

218273106288 is a wasteful number, since it uses less digits than its factorization.

218273106288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21823 (or 21817 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 218273106288 in words is "two hundred eighteen billion, two hundred seventy-three million, one hundred six thousand, two hundred eighty-eight".