218148800 has 42 divisors (see below), whose sum is σ = 536786328. Its totient is φ = 87258880.

The previous prime is 218148787. The next prime is 218148803. The reversal of 218148800 is 8841812.

218148800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218148803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66572 + ... + 69771.

Almost surely, 2^218148800 is an apocalyptic number.

218148800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218148800 is an abundant number, since it is smaller than the sum of its proper divisors (318637528).

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

218148800 is a wasteful number, since it uses less digits than its factorization.

218148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136365 (or 136350 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 218148800 is about 14769.8612044934. The cubic root of 218148800 is about 601.9830681433.

The spelling of 218148800 in words is "two hundred eighteen million, one hundred forty-eight thousand, eight hundred".