181837747738181 has 2 divisors, whose sum is σ = 181837747738182. Its totient is φ = 181837747738180.

The previous prime is 181837747738159. The next prime is 181837747738189.

It is a happy number.

181837747738181 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134185372313281 + 47652375424900 = 11583841^2 + 6903070^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 181837747738181 - 2¹⁴ = 181837747721797 is a prime.

It is a super-2 number, since 2×181837747738181² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 181837747738099 and 181837747738108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (181837747738189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90918873869090 + 90918873869091.

It is an arithmetic number, because the mean of its divisors is an integer number (90918873869091).

Almost surely, 2^{181837747738181} is an apocalyptic number.

It is an amenable number.

181837747738181 is a deficient number, since it is larger than the sum of its proper divisors (1).

181837747738181 is an equidigital number, since it uses as much as digits as its factorization.

181837747738181 is an evil number, because the sum of its binary digits is even.

The product of its digits is 354041856, while the sum is 74.

The spelling of 181837747738181 in words is "one hundred eighty-one trillion, eight hundred thirty-seven billion, seven hundred forty-seven million, seven hundred thirty-eight thousand, one hundred eighty-one".