218295000000 has 1680 divisors, whose sum is σ = 1026464950368. Its totient is φ = 45360000000.

The previous prime is 218294999999. The next prime is 218295000037. The reversal of 218295000000 is 592812.

218295000000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19844999995 + ... + 19845000005.

Almost surely, 2^218295000000 is an apocalyptic number.

218295000000 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 218295000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513232475184).

218295000000 is an abundant number, since it is smaller than the sum of its proper divisors (808169950368).

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

218295000000 is an frugal number, since it uses more digits than its factorization.

218295000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 218295000000 its reverse (592812), we get a palindrome (218295592812).

The spelling of 218295000000 in words is "two hundred eighteen billion, two hundred ninety-five million", and thus it is an aban number.