218150236800 has 864 divisors, whose sum is σ = 831275128320. Its totient is φ = 56487352320.

The previous prime is 218150236697. The next prime is 218150236813. The reversal of 218150236800 is 8632051812.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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 107 ways as a sum of consecutive naturals, for example, 1717718337 + ... + 1717718463.

Almost surely, 2^218150236800 is an apocalyptic number.

218150236800 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 218150236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415637564160).

218150236800 is an abundant number, since it is smaller than the sum of its proper divisors (613124891520).

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

218150236800 is an equidigital number, since it uses as much as digits as its factorization.

218150236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 218150236800 in words is "two hundred eighteen billion, one hundred fifty million, two hundred thirty-six thousand, eight hundred".