180848401 has 2 divisors, whose sum is σ = 180848402. Its totient is φ = 180848400.

The previous prime is 180848383. The next prime is 180848407. The reversal of 180848401 is 104848081.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 140398801 + 40449600 = 11849^2 + 6360^2 .

It is a cyclic number.

It is not a de Polignac number, because 180848401 - 2⁷ = 180848273 is a prime.

It is a super-2 number, since 2×180848401² = 65412288288513602, which contains 22 as substring.

It is equal to p_10074877 and since 180848401 and 10074877 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (180848407) 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, 90424200 + 90424201.

It is an arithmetic number, because the mean of its divisors is an integer number (90424201).

Almost surely, 2^180848401 is an apocalyptic number.

It is an amenable number.

180848401 is a deficient number, since it is larger than the sum of its proper divisors (1).

180848401 is an equidigital number, since it uses as much as digits as its factorization.

180848401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 180848401 is about 13447.9887343796. The cubic root of 180848401 is about 565.5073115991.

The spelling of 180848401 in words is "one hundred eighty million, eight hundred forty-eight thousand, four hundred one".