218140816544 has 96 divisors (see below), whose sum is σ = 513063694080. Its totient is φ = 89265825792.

The previous prime is 218140816541. The next prime is 218140816573. The reversal of 218140816544 is 445618041812.

It is a junction number, because it is equal to n+sod(n) for n = 218140816495 and 218140816504.

It is not an unprimeable number, because it can be changed into a prime (218140816541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2894282 + ... + 2968694.

It is an arithmetic number, because the mean of its divisors is an integer number (5344413480).

Almost surely, 2^218140816544 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 218140816544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256531847040).

218140816544 is an abundant number, since it is smaller than the sum of its proper divisors (294922877536).

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

218140816544 is a wasteful number, since it uses less digits than its factorization.

218140816544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75022 (or 75014 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The spelling of 218140816544 in words is "two hundred eighteen billion, one hundred forty million, eight hundred sixteen thousand, five hundred forty-four".