218423270016 has 768 divisors, whose sum is σ = 794327040000. Its totient is φ = 56176312320.

The previous prime is 218423270003. The next prime is 218423270041. The reversal of 218423270016 is 610072324812.

It is a happy number.

218423270016 is a `hidden beast` number, since 218 + 423 + 2 + 7 + 0 + 0 + 16 = 666.

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 95 ways as a sum of consecutive naturals, for example, 437721735 + ... + 437722233.

It is an arithmetic number, because the mean of its divisors is an integer number (1034280000).

Almost surely, 2^218423270016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218423270016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397163520000).

218423270016 is an abundant number, since it is smaller than the sum of its proper divisors (575903769984).

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

218423270016 is a wasteful number, since it uses less digits than its factorization.

218423270016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 218423270016 its reverse (610072324812), we get a palindrome (828495594828).

The spelling of 218423270016 in words is "two hundred eighteen billion, four hundred twenty-three million, two hundred seventy thousand, sixteen".