218869816 has 64 divisors (see below), whose sum is σ = 477504000. Its totient is φ = 93000960.

The previous prime is 218869801. The next prime is 218869831. The reversal of 218869816 is 618968812.

It is an interprime number because it is at equal distance from previous prime (218869801) and next prime (218869831).

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 218869816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131260 + ... + 132916.

It is an arithmetic number, because the mean of its divisors is an integer number (7461000).

Almost surely, 2^218869816 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 218869816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238752000).

218869816 is an abundant number, since it is smaller than the sum of its proper divisors (258634184).

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

218869816 is a wasteful number, since it uses less digits than its factorization.

218869816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1768 counting only the distinct ones).

The product of its digits is 331776, while the sum is 49.

The square root of 218869816 is about 14794.2494233401. The cubic root of 218869816 is about 602.6455549574.

The spelling of 218869816 in words is "two hundred eighteen million, eight hundred sixty-nine thousand, eight hundred sixteen".