218089709712 has 200 divisors, whose sum is σ = 730082396736. Its totient is φ = 61560393984.

The previous prime is 218089709711. The next prime is 218089709713. The reversal of 218089709712 is 217907980812.

It is an interprime number because it is at equal distance from previous prime (218089709711) and next prime (218089709713).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (218089709711) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 608158 + ... + 897794.

Almost surely, 2^218089709712 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 218089709712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365041198368).

218089709712 is an abundant number, since it is smaller than the sum of its proper divisors (511992687024).

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

218089709712 is a wasteful number, since it uses less digits than its factorization.

218089709712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289747 (or 289732 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 218089709712 in words is "two hundred eighteen billion, eighty-nine million, seven hundred nine thousand, seven hundred twelve".