218086641 has 32 divisors (see below), whose sum is σ = 336000000. Its totient is φ = 139636224.

The previous prime is 218086637. The next prime is 218086663. The reversal of 218086641 is 146680812.

218086641 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 8 + 6 + 641 = 666.

It is not a de Polignac number, because 218086641 - 2² = 218086637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 218086596 and 218086605.

It is not an unprimeable number, because it can be changed into a prime (218086241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173985 + ... + 175233.

It is an arithmetic number, because the mean of its divisors is an integer number (10500000).

Almost surely, 2^218086641 is an apocalyptic number.

It is an amenable number.

218086641 is a deficient number, since it is larger than the sum of its proper divisors (117913359).

218086641 is a wasteful number, since it uses less digits than its factorization.

218086641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 218086641 is about 14767.7568032521. The cubic root of 218086641 is about 601.9258866536.

The spelling of 218086641 in words is "two hundred eighteen million, eighty-six thousand, six hundred forty-one".