218789660544 has 768 divisors, whose sum is σ = 781212418560. Its totient is φ = 52907212800.

The previous prime is 218789660543. The next prime is 218789660549. The reversal of 218789660544 is 445066987812.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218789660543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316627239 + ... + 316627929.

It is an arithmetic number, because the mean of its divisors is an integer number (1017203670).

Almost surely, 2^218789660544 is an apocalyptic number.

218789660544 is a gapful number since it is divisible by the number (24) 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 218789660544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390606209280).

218789660544 is an abundant number, since it is smaller than the sum of its proper divisors (562422758016).

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

218789660544 is a wasteful number, since it uses less digits than its factorization.

218789660544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 218789660544 in words is "two hundred eighteen billion, seven hundred eighty-nine million, six hundred sixty thousand, five hundred forty-four".