218031414768 has 160 divisors (see below), whose sum is σ = 642655603520. Its totient is φ = 70747914240.

The previous prime is 218031414719. The next prime is 218031414773. The reversal of 218031414768 is 867414130812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2513496 + ... + 2598792.

It is an arithmetic number, because the mean of its divisors is an integer number (4016597522).

Almost surely, 2^218031414768 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 218031414768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321327801760).

218031414768 is an abundant number, since it is smaller than the sum of its proper divisors (424624188752).

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

218031414768 is a wasteful number, since it uses less digits than its factorization.

218031414768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85472 (or 85460 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 218031414768 in words is "two hundred eighteen billion, thirty-one million, four hundred fourteen thousand, seven hundred sixty-eight".