218785222656 has 1248 divisors, whose sum is σ = 872990227200. Its totient is φ = 52455997440.

The previous prime is 218785222633. The next prime is 218785222693. The reversal of 218785222656 is 656222587812.

218785222656 is a `hidden beast` number, since 21 + 8 + 78 + 522 + 26 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

Its product of digits (6451200) is a multiple of the sum of its prime divisors (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, 16829632506 + ... + 16829632518.

It is an arithmetic number, because the mean of its divisors is an integer number (699511400).

Almost surely, 2^218785222656 is an apocalyptic number.

218785222656 is a gapful number since it is divisible by the number (26) 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 218785222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436495113600).

218785222656 is an abundant number, since it is smaller than the sum of its proper divisors (654205004544).

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

218785222656 is an equidigital number, since it uses as much as digits as its factorization.

218785222656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 36 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 218785222656 in words is "two hundred eighteen billion, seven hundred eighty-five million, two hundred twenty-two thousand, six hundred fifty-six".