218246564536 has 288 divisors, whose sum is σ = 588142789920. Its totient is φ = 73864581120.

The previous prime is 218246564531. The next prime is 218246564573. The reversal of 218246564536 is 635465642812.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218246564531) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25453146 + ... + 25461718.

It is an arithmetic number, because the mean of its divisors is an integer number (2042162465).

Almost surely, 2^218246564536 is an apocalyptic number.

218246564536 is a gapful number since it is divisible by the number (26) 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 218246564536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294071394960).

218246564536 is an abundant number, since it is smaller than the sum of its proper divisors (369896225384).

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

218246564536 is a wasteful number, since it uses less digits than its factorization.

218246564536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8655 (or 8623 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 52.

It can be divided in two parts, 2182465 and 64536, that added together give a square (2247001 = 1499²).

The spelling of 218246564536 in words is "two hundred eighteen billion, two hundred forty-six million, five hundred sixty-four thousand, five hundred thirty-six".