218849098664 has 192 divisors, whose sum is σ = 526559616000. Its totient is φ = 84635228160.

The previous prime is 218849098649. The next prime is 218849098679. The reversal of 218849098664 is 466890948812.

It is an interprime number because it is at equal distance from previous prime (218849098649) and next prime (218849098679).

It is a self number, because there is not a number n which added to its sum of digits gives 218849098664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22512797 + ... + 22522515.

It is an arithmetic number, because the mean of its divisors is an integer number (2742498000).

Almost surely, 2^218849098664 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 218849098664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263279808000).

218849098664 is an abundant number, since it is smaller than the sum of its proper divisors (307710517336).

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

218849098664 is a wasteful number, since it uses less digits than its factorization.

218849098664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9896 (or 9885 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 65.

The spelling of 218849098664 in words is "two hundred eighteen billion, eight hundred forty-nine million, ninety-eight thousand, six hundred sixty-four".