218400242256 has 120 divisors (see below), whose sum is σ = 701056788224. Its totient is φ = 62174718720.

The previous prime is 218400242231. The next prime is 218400242341. The reversal of 218400242256 is 652242004812.

218400242256 is a `hidden beast` number, since 2 + 1 + 8 + 400 + 24 + 225 + 6 = 666.

218400242256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 218400242256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111880 + ... + 670311.

Almost surely, 2^218400242256 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 218400242256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350528394112).

218400242256 is an abundant number, since it is smaller than the sum of its proper divisors (482656545968).

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

218400242256 is a wasteful number, since it uses less digits than its factorization.

218400242256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782489 (or 782480 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 218400242256 in words is "two hundred eighteen billion, four hundred million, two hundred forty-two thousand, two hundred fifty-six".