181876413681 has 6 divisors (see below), whose sum is σ = 262710375330. Its totient is φ = 121250942448.

The previous prime is 181876413679. The next prime is 181876413683. The reversal of 181876413681 is 186314678181.

181876413681 is a `hidden beast` number, since 1 + 81 + 8 + 76 + 413 + 6 + 81 = 666.

It is an interprime number because it is at equal distance from previous prime (181876413679) and next prime (181876413683).

It can be written as a sum of positive squares in only one way, i.e., 178409088225 + 3467325456 = 422385^2 + 58884^2 .

It is not a de Polignac number, because 181876413681 - 2¹ = 181876413679 is a prime.

It is a super-2 number, since 2×181876413681² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (181876413683) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10104245196 + ... + 10104245213.

It is an arithmetic number, because the mean of its divisors is an integer number (43785062555).

Almost surely, 2^181876413681 is an apocalyptic number.

It is an amenable number.

181876413681 is a deficient number, since it is larger than the sum of its proper divisors (80833961649).

181876413681 is a wasteful number, since it uses less digits than its factorization.

181876413681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20208490415 (or 20208490412 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 181876413681 in words is "one hundred eighty-one billion, eight hundred seventy-six million, four hundred thirteen thousand, six hundred eighty-one".