218245844752 has 80 divisors (see below), whose sum is σ = 480376128960. Its totient is φ = 95222186496.

The previous prime is 218245844651. The next prime is 218245844827. The reversal of 218245844752 is 257448542812.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 218245844752.

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, 1786458 + ... + 1904710.

It is an arithmetic number, because the mean of its divisors is an integer number (6004701612).

Almost surely, 2^218245844752 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 218245844752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240188064480).

218245844752 is an abundant number, since it is smaller than the sum of its proper divisors (262130284208).

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

218245844752 is a wasteful number, since it uses less digits than its factorization.

218245844752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118760 (or 118754 counting only the distinct ones).

The product of its digits is 5734400, while the sum is 52.

The spelling of 218245844752 in words is "two hundred eighteen billion, two hundred forty-five million, eight hundred forty-four thousand, seven hundred fifty-two".