218206464 has 144 divisors (see below), whose sum is σ = 682270848. Its totient is φ = 60604416.

The previous prime is 218206463. The next prime is 218206481. The reversal of 218206464 is 464602812.

It is a super-2 number, since 2×218206464² = 95228121862766592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (218206463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198364 + ... + 199460.

It is an arithmetic number, because the mean of its divisors is an integer number (4737992).

Almost surely, 2^218206464 is an apocalyptic number.

218206464 is a gapful number since it is divisible by the number (24) 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 218206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341135424).

218206464 is an abundant number, since it is smaller than the sum of its proper divisors (464064384).

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

218206464 is a wasteful number, since it uses less digits than its factorization.

218206464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 218206464 is about 14771.8131588509. The cubic root of 218206464 is about 602.0361048680.

The spelling of 218206464 in words is "two hundred eighteen million, two hundred six thousand, four hundred sixty-four".