218469312 has 280 divisors, whose sum is σ = 714749904. Its totient is φ = 65691648.

The previous prime is 218469311. The next prime is 218469319. The reversal of 218469312 is 213964812.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218469311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3260703 + ... + 3260769.

Almost surely, 2^218469312 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 218469312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357374952).

218469312 is an abundant number, since it is smaller than the sum of its proper divisors (496280592).

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

218469312 is a wasteful number, since it uses less digits than its factorization.

218469312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 218469312 is about 14780.7074255598. The cubic root of 218469312 is about 602.2777422089.

The spelling of 218469312 in words is "two hundred eighteen million, four hundred sixty-nine thousand, three hundred twelve".