218942496 has 72 divisors (see below), whose sum is σ = 630564480. Its totient is φ = 72049536.

The previous prime is 218942443. The next prime is 218942509. The reversal of 218942496 is 694249812.

218942496 is a `hidden beast` number, since 218 + 9 + 424 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17941 + ... + 27563.

It is an arithmetic number, because the mean of its divisors is an integer number (8757840).

Almost surely, 2^218942496 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 218942496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315282240).

218942496 is an abundant number, since it is smaller than the sum of its proper divisors (411621984).

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

218942496 is a wasteful number, since it uses less digits than its factorization.

218942496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9718 (or 9707 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 218942496 is about 14796.7055792835. The cubic root of 218942496 is about 602.7122543199.

The spelling of 218942496 in words is "two hundred eighteen million, nine hundred forty-two thousand, four hundred ninety-six".