218288001712 has 60 divisors (see below), whose sum is σ = 465242189608. Its totient is φ = 99143827200.

The previous prime is 218288001703. The next prime is 218288001719. The reversal of 218288001712 is 217100882812.

218288001712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×218288001712² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (218288001719) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2455708 + ... + 2543044.

Almost surely, 2^218288001712 is an apocalyptic number.

218288001712 is a gapful number since it is divisible by the number (22) 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 218288001712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232621094804).

218288001712 is an abundant number, since it is smaller than the sum of its proper divisors (246954187896).

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

218288001712 is a wasteful number, since it uses less digits than its factorization.

218288001712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88658 (or 88641 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 40.

The spelling of 218288001712 in words is "two hundred eighteen billion, two hundred eighty-eight million, one thousand, seven hundred twelve".