218542464 has 192 divisors, whose sum is σ = 737362080. Its totient is φ = 60825600.

The previous prime is 218542447. The next prime is 218542483. The reversal of 218542464 is 464245812.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330294 + ... + 330954.

Almost surely, 2^218542464 is an apocalyptic number.

218542464 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 218542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368681040).

218542464 is an abundant number, since it is smaller than the sum of its proper divisors (518819616).

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

218542464 is a wasteful number, since it uses less digits than its factorization.

218542464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 714 counting only the distinct ones).

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

The square root of 218542464 is about 14783.1817955405. The cubic root of 218542464 is about 602.3449566908.

The spelling of 218542464 in words is "two hundred eighteen million, five hundred forty-two thousand, four hundred sixty-four".