18100000181 has 8 divisors (see below), whose sum is σ = 19270591704. Its totient is φ = 16941173760.

The previous prime is 18100000169. The next prime is 18100000183.

18100000181 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2106351025 + 15993649156 = 45895^2 + 126466^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-18100000181 is a prime.

It is a super-2 number, since 2×18100000181² (a number of 21 digits) contains 22 as substring.

18100000181 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18100000183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2938100 + ... + 2944253.

It is an arithmetic number, because the mean of its divisors is an integer number (2408823963).

Almost surely, 2^18100000181 is an apocalyptic number.

It is an amenable number.

18100000181 is a deficient number, since it is larger than the sum of its proper divisors (1170591523).

18100000181 is a wasteful number, since it uses less digits than its factorization.

18100000181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882551.

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 18100000 and 181, that added together give a palindrome (18100181).

The spelling of 18100000181 in words is "eighteen billion, one hundred million, one hundred eighty-one", and thus it is an aban number.