218124493444 has 243 divisors, whose sum is σ = 481727783397. Its totient is φ = 86308622400.

The previous prime is 218124493441. The next prime is 218124493451. The reversal of 218124493444 is 444394421812.

The square root of 218124493444 is 467038.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32266936900 + 185857556544 = 179630^2 + 431112^2 .

It is a super-2 number, since 2×218124493444² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 218124493394 and 218124493403.

It is not an unprimeable number, because it can be changed into a prime (218124493441) 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 80 ways as a sum of consecutive naturals, for example, 3072175929 + ... + 3072175999.

Almost surely, 2^218124493444 is an apocalyptic number.

218124493444 is the 467038-th square number.

It is an amenable number.

218124493444 is an abundant number, since it is smaller than the sum of its proper divisors (263603289953).

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

218124493444 is a wasteful number, since it uses less digits than its factorization.

218124493444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 120 counting only the distinct ones).

The product of its digits is 884736, while the sum is 46.

The spelling of 218124493444 in words is "two hundred eighteen billion, one hundred twenty-four million, four hundred ninety-three thousand, four hundred forty-four".