218064041800 has 48 divisors (see below), whose sum is σ = 553089711600. Its totient is φ = 79296014400.

The previous prime is 218064041779. The next prime is 218064041807. The reversal of 218064041800 is 8140460812.

It is not an unprimeable number, because it can be changed into a prime (218064041807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49557810 + ... + 49562209.

It is an arithmetic number, because the mean of its divisors is an integer number (11522702325).

Almost surely, 2^218064041800 is an apocalyptic number.

218064041800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218064041800 is an abundant number, since it is smaller than the sum of its proper divisors (335025669800).

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

218064041800 is a wasteful number, since it uses less digits than its factorization.

218064041800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99120046 (or 99120037 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 218064041800 in words is "two hundred eighteen billion, sixty-four million, forty-one thousand, eight hundred".