218148480 has 288 divisors, whose sum is σ = 830646180. Its totient is φ = 52715520.

The previous prime is 218148473. The next prime is 218148521. The reversal of 218148480 is 84841812.

It is a happy number.

218148480 is a `hidden beast` number, since 21 + 81 + 484 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 181279296 + 36869184 = 13464^2 + 6072^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696804 + ... + 697116.

Almost surely, 2^218148480 is an apocalyptic number.

218148480 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 218148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415323090).

218148480 is an abundant number, since it is smaller than the sum of its proper divisors (612497700).

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

218148480 is a wasteful number, since it uses less digits than its factorization.

218148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 218148480 is about 14769.8503716185. The cubic root of 218148480 is about 601.9827737958.

The spelling of 218148480 in words is "two hundred eighteen million, one hundred forty-eight thousand, four hundred eighty".