218221116960 has 768 divisors, whose sum is σ = 878199791616. Its totient is φ = 44236800000.

The previous prime is 218221116959. The next prime is 218221116961. The reversal of 218221116960 is 69611122812.

It is an interprime number because it is at equal distance from previous prime (218221116959) and next prime (218221116961).

It is not an unprimeable number, because it can be changed into a prime (218221116961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 340438240 + ... + 340438880.

It is an arithmetic number, because the mean of its divisors is an integer number (1143489312).

Almost surely, 2^218221116960 is an apocalyptic number.

218221116960 is a gapful number since it is divisible by the number (20) 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 218221116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439099895808).

218221116960 is an abundant number, since it is smaller than the sum of its proper divisors (659978674656).

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

218221116960 is a wasteful number, since it uses less digits than its factorization.

218221116960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 218221116960 in words is "two hundred eighteen billion, two hundred twenty-one million, one hundred sixteen thousand, nine hundred sixty".