218664956160 has 1440 divisors, whose sum is σ = 974416988160. Its totient is φ = 45673611264.

The previous prime is 218664956099. The next prime is 218664956171. The reversal of 218664956160 is 61659466812.

218664956160 is a `hidden beast` number, since 2 + 18 + 6 + 6 + 4 + 9 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 218664956097 and 218664956106.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 456502801 + ... + 456503279.

It is an arithmetic number, because the mean of its divisors is an integer number (676678464).

Almost surely, 2^218664956160 is an apocalyptic number.

218664956160 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 218664956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487208494080).

218664956160 is an abundant number, since it is smaller than the sum of its proper divisors (755752032000).

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

218664956160 is a wasteful number, since it uses less digits than its factorization.

218664956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 218664956160 in words is "two hundred eighteen billion, six hundred sixty-four million, nine hundred fifty-six thousand, one hundred sixty".