82188205641 has 12 divisors (see below), whose sum is σ = 118720189120. Its totient is φ = 54790340760.

The previous prime is 82188205639. The next prime is 82188205643. The reversal of 82188205641 is 14650288128.

82188205641 is a `hidden beast` number, since 8 + 2 + 1 + 8 + 82 + 0 + 564 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (82188205639) and next prime (82188205643).

It is not a de Polignac number, because 82188205641 - 2¹ = 82188205639 is a prime.

It is a super-2 number, since 2×82188205641² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82188205643) 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, 177780 + ... + 442698.

Almost surely, 2^82188205641 is an apocalyptic number.

It is an amenable number.

82188205641 is a deficient number, since it is larger than the sum of its proper divisors (36531983479).

82188205641 is a wasteful number, since it uses less digits than its factorization.

82188205641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299396 (or 299393 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 82188205641 in words is "eighty-two billion, one hundred eighty-eight million, two hundred five thousand, six hundred forty-one".