218748816 has 160 divisors (see below), whose sum is σ = 737869440. Its totient is φ = 61171200.

The previous prime is 218748797. The next prime is 218748821. The reversal of 218748816 is 618847812.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60006 + ... + 63546.

It is an arithmetic number, because the mean of its divisors is an integer number (4611684).

Almost surely, 2^218748816 is an apocalyptic number.

218748816 is a gapful number since it is divisible by the number (26) 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 218748816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368934720).

218748816 is an abundant number, since it is smaller than the sum of its proper divisors (519120624).

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

218748816 is a wasteful number, since it uses less digits than its factorization.

218748816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3570 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 218748816 is about 14790.1594311894. The cubic root of 218748816 is about 602.5344789529.

The spelling of 218748816 in words is "two hundred eighteen million, seven hundred forty-eight thousand, eight hundred sixteen".