218649043800 has 576 divisors, whose sum is σ = 833388847200. Its totient is φ = 50887065600.

The previous prime is 218649043799. The next prime is 218649043801. The reversal of 218649043800 is 8340946812.

It is a happy number.

218649043800 is a `hidden beast` number, since 2 + 1 + 86 + 490 + 4 + 3 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (218649043799) and next prime (218649043801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218649043801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110819614 + ... + 110821586.

Almost surely, 2^218649043800 is an apocalyptic number.

218649043800 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 218649043800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416694423600).

218649043800 is an abundant number, since it is smaller than the sum of its proper divisors (614739803400).

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

218649043800 is a wasteful number, since it uses less digits than its factorization.

218649043800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 218649043800 in words is "two hundred eighteen billion, six hundred forty-nine million, forty-three thousand, eight hundred".