218938368 has 264 divisors, whose sum is σ = 696962560. Its totient is φ = 60825600.

The previous prime is 218938367. The next prime is 218938397. The reversal of 218938368 is 863839812.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218938367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7062513 + ... + 7062543.

Almost surely, 2^218938368 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 218938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348481280).

218938368 is an abundant number, since it is smaller than the sum of its proper divisors (478024192).

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

218938368 is a wasteful number, since it uses less digits than its factorization.

218938368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 218938368 is about 14796.5660881165. The cubic root of 218938368 is about 602.7084663971.

The spelling of 218938368 in words is "two hundred eighteen million, nine hundred thirty-eight thousand, three hundred sixty-eight".