218118480 has 160 divisors (see below), whose sum is σ = 735191040. Its totient is φ = 53291520.

The previous prime is 218118469. The next prime is 218118487. The reversal of 218118480 is 84811812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218118487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140589 + ... + 142131.

It is an arithmetic number, because the mean of its divisors is an integer number (4594944).

Almost surely, 2^218118480 is an apocalyptic number.

218118480 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 218118480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367595520).

218118480 is an abundant number, since it is smaller than the sum of its proper divisors (517072560).

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

218118480 is a wasteful number, since it uses less digits than its factorization.

218118480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 218118480 is about 14768.8347543061. The cubic root of 218118480 is about 601.9551774371.

The spelling of 218118480 in words is "two hundred eighteen million, one hundred eighteen thousand, four hundred eighty".