82218354201 has 12 divisors (see below), whose sum is σ = 118770215460. Its totient is φ = 54807449760.

The previous prime is 82218354187. The next prime is 82218354217. The reversal of 82218354201 is 10245381228.

It is a happy number.

82218354201 is a `hidden beast` number, since 8 + 221 + 8 + 3 + 5 + 420 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2511513225 + 79706840976 = 50115^2 + 282324^2 .

It is not a de Polignac number, because 82218354201 - 2⁶ = 82218354137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82218354221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288466 + ... + 497643.

It is an arithmetic number, because the mean of its divisors is an integer number (9897517955).

Almost surely, 2^82218354201 is an apocalyptic number.

It is an amenable number.

82218354201 is a deficient number, since it is larger than the sum of its proper divisors (36551861259).

82218354201 is a wasteful number, since it uses less digits than its factorization.

82218354201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797736 (or 797733 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 82218354201 in words is "eighty-two billion, two hundred eighteen million, three hundred fifty-four thousand, two hundred one".