218626641 has 16 divisors (see below), whose sum is σ = 326867200. Its totient is φ = 144411984.

The previous prime is 218626627. The next prime is 218626649. The reversal of 218626641 is 146626812.

218626641 is a `hidden beast` number, since 2 + 1 + 8 + 6 + 2 + 6 + 641 = 666.

It is not a de Polignac number, because 218626641 - 2¹⁵ = 218593873 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 218626596 and 218626605.

It is not an unprimeable number, because it can be changed into a prime (218626649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34201 + ... + 40086.

It is an arithmetic number, because the mean of its divisors is an integer number (20429200).

Almost surely, 2^218626641 is an apocalyptic number.

It is an amenable number.

218626641 is a deficient number, since it is larger than the sum of its proper divisors (108240559).

218626641 is a wasteful number, since it uses less digits than its factorization.

218626641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74405 (or 74399 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 218626641 is about 14786.0285742995. The cubic root of 218626641 is about 602.4222827506.

The spelling of 218626641 in words is "two hundred eighteen million, six hundred twenty-six thousand, six hundred forty-one".