218530464768 has 528 divisors, whose sum is σ = 794753481600. Its totient is φ = 56180736000.

The previous prime is 218530464739. The next prime is 218530464781. The reversal of 218530464768 is 867464035812.

It is a happy number.

218530464768 is a `hidden beast` number, since 2 + 1 + 8 + 530 + 4 + 6 + 47 + 68 = 666.

218530464768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

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, 71671308 + ... + 71674356.

Almost surely, 2^218530464768 is an apocalyptic number.

218530464768 is a gapful number since it is divisible by the number (28) 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 218530464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397376740800).

218530464768 is an abundant number, since it is smaller than the sum of its proper divisors (576223016832).

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

218530464768 is a wasteful number, since it uses less digits than its factorization.

218530464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 218530464768 in words is "two hundred eighteen billion, five hundred thirty million, four hundred sixty-four thousand, seven hundred sixty-eight".