218960681698656 has 672 divisors, whose sum is σ = 682085973284352. Its totient is φ = 69022625126400.

The previous prime is 218960681698651. The next prime is 218960681698769. The reversal of 218960681698656 is 656896186069812.

It is a happy number.

218960681698656 is a `hidden beast` number, since 218 + 9 + 60 + 68 + 169 + 86 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218960681698651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37745330956 + ... + 37745336756.

It is an arithmetic number, because the mean of its divisors is an integer number (1015008888816).

Almost surely, 2^{218960681698656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218960681698656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341042986642176).

218960681698656 is an abundant number, since it is smaller than the sum of its proper divisors (463125291585696).

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

218960681698656 is a wasteful number, since it uses less digits than its factorization.

218960681698656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638 (or 6615 counting only the distinct ones).

The product of its (nonzero) digits is 3224862720, while the sum is 81.

The spelling of 218960681698656 in words is "two hundred eighteen trillion, nine hundred sixty billion, six hundred eighty-one million, six hundred ninety-eight thousand, six hundred fifty-six".