218648263680 has 1760 divisors, whose sum is σ = 1006663375872. Its totient is φ = 44059852800.

The previous prime is 218648263679. The next prime is 218648263697. The reversal of 218648263680 is 86362846812.

218648263680 is a `hidden beast` number, since 2 + 1 + 86 + 482 + 6 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1309270957 + ... + 1309271123.

Almost surely, 2^218648263680 is an apocalyptic number.

218648263680 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 218648263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503331687936).

218648263680 is an abundant number, since it is smaller than the sum of its proper divisors (788015112192).

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

218648263680 is a wasteful number, since it uses less digits than its factorization.

218648263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 218648263680 in words is "two hundred eighteen billion, six hundred forty-eight million, two hundred sixty-three thousand, six hundred eighty".