218852770640868 has 384 divisors, whose sum is σ = 708420304650240. Its totient is φ = 56886293882880.

The previous prime is 218852770640831. The next prime is 218852770640879. The reversal of 218852770640868 is 868046077258812.

218852770640868 is a `hidden beast` number, since 2 + 18 + 8 + 527 + 7 + 0 + 6 + 4 + 0 + 86 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 218852770640796 and 218852770640805.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2021437705 + ... + 2021545967.

It is an arithmetic number, because the mean of its divisors is an integer number (1844844543360).

Almost surely, 2^{218852770640868} is an apocalyptic number.

218852770640868 is a gapful number since it is divisible by the number (28) 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 218852770640868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354210152325120).

218852770640868 is an abundant number, since it is smaller than the sum of its proper divisors (489567534009372).

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

218852770640868 is a wasteful number, since it uses less digits than its factorization.

218852770640868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111264 (or 111256 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 218852770640868 in words is "two hundred eighteen trillion, eight hundred fifty-two billion, seven hundred seventy million, six hundred forty thousand, eight hundred sixty-eight".