218866096332 has 288 divisors, whose sum is σ = 651855859200. Its totient is φ = 63655206912.

The previous prime is 218866096307. The next prime is 218866096381. The reversal of 218866096332 is 233690668812.

218866096332 is a `hidden beast` number, since 21 + 8 + 8 + 6 + 609 + 6 + 3 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 155333644 + ... + 155335052.

It is an arithmetic number, because the mean of its divisors is an integer number (2263388400).

Almost surely, 2^218866096332 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 218866096332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325927929600).

218866096332 is an abundant number, since it is smaller than the sum of its proper divisors (432989762868).

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

218866096332 is a wasteful number, since it uses less digits than its factorization.

218866096332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 218866096332 in words is "two hundred eighteen billion, eight hundred sixty-six million, ninety-six thousand, three hundred thirty-two".