181118592001 has 2 divisors, whose sum is σ = 181118592002. Its totient is φ = 181118592000.

The previous prime is 181118591999. The next prime is 181118592043. The reversal of 181118592001 is 100295811181.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181114080625 + 4511376 = 425575^2 + 2124^2 .

It is a cyclic number.

It is not a de Polignac number, because 181118592001 - 2¹ = 181118591999 is a prime.

Together with 181118591999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (181118592601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90559296000 + 90559296001.

It is an arithmetic number, because the mean of its divisors is an integer number (90559296001).

Almost surely, 2^181118592001 is an apocalyptic number.

It is an amenable number.

181118592001 is a deficient number, since it is larger than the sum of its proper divisors (1).

181118592001 is an equidigital number, since it uses as much as digits as its factorization.

181118592001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 37.

The spelling of 181118592001 in words is "one hundred eighty-one billion, one hundred eighteen million, five hundred ninety-two thousand, one".