218481380500 has 24 divisors (see below), whose sum is σ = 477163336104. Its totient is φ = 87392552000.

The previous prime is 218481380489. The next prime is 218481380501. The reversal of 218481380500 is 5083184812.

It can be written as a sum of positive squares in 4 ways, for example, as 6176073744 + 212305306756 = 78588^2 + 460766^2 .

It is a super-2 number, since 2×218481380500² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218481380501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218480881 + ... + 218481880.

It is an arithmetic number, because the mean of its divisors is an integer number (19881805671).

Almost surely, 2^218481380500 is an apocalyptic number.

218481380500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218481380500 is an abundant number, since it is smaller than the sum of its proper divisors (258681955604).

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

218481380500 is a wasteful number, since it uses less digits than its factorization.

218481380500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436962780 (or 436962768 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 218481380500 in words is "two hundred eighteen billion, four hundred eighty-one million, three hundred eighty thousand, five hundred".