218441405952 has 480 divisors, whose sum is σ = 796050478080. Its totient is φ = 56012636160.

The previous prime is 218441405951. The next prime is 218441405953. The reversal of 218441405952 is 259504144812.

218441405952 is a `hidden beast` number, since 2 + 1 + 8 + 44 + 14 + 0 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (218441405951) and next prime (218441405953).

It is a super-2 number, since 2×218441405952² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 218441405898 and 218441405907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218441405951) 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 47 ways as a sum of consecutive naturals, for example, 28026568 + ... + 28034360.

It is an arithmetic number, because the mean of its divisors is an integer number (1658438496).

Almost surely, 2^218441405952 is an apocalyptic number.

218441405952 is a gapful number since it is divisible by the number (22) 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 218441405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398025239040).

218441405952 is an abundant number, since it is smaller than the sum of its proper divisors (577609072128).

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

218441405952 is a wasteful number, since it uses less digits than its factorization.

218441405952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914 (or 7895 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 218441405952 in words is "two hundred eighteen billion, four hundred forty-one million, four hundred five thousand, nine hundred fifty-two".