218281954487360 has 672 divisors, whose sum is σ = 581066025007104. Its totient is φ = 77872177152000.

The previous prime is 218281954487351. The next prime is 218281954487369. The reversal of 218281954487360 is 63784459182812.

It is an interprime number because it is at equal distance from previous prime (218281954487351) and next prime (218281954487369).

It is not an unprimeable number, because it can be changed into a prime (218281954487369) 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, 126834371300 + ... + 126834373020.

It is an arithmetic number, because the mean of its divisors is an integer number (864681584832).

It is a 1-persistent number, because it is pandigital, but 2⋅218281954487360 = 436563908974720 is not.

Almost surely, 2^{218281954487360} is an apocalyptic number.

218281954487360 is a gapful number since it is divisible by the number (20) 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 218281954487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290533012503552).

218281954487360 is an abundant number, since it is smaller than the sum of its proper divisors (362784070519744).

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

218281954487360 is a wasteful number, since it uses less digits than its factorization.

218281954487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 68.

The spelling of 218281954487360 in words is "two hundred eighteen trillion, two hundred eighty-one billion, nine hundred fifty-four million, four hundred eighty-seven thousand, three hundred sixty".