185188848166253 has 2 divisors, whose sum is σ = 185188848166254. Its totient is φ = 185188848166252.

The previous prime is 185188848166121. The next prime is 185188848166319. The reversal of 185188848166253 is 352661848881581.

185188848166253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139756894021924 + 45431954144329 = 11821882^2 + 6740323^2 .

It is a cyclic number.

It is not a de Polignac number, because 185188848166253 - 2³⁸ = 184913970259309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (185188848166753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 92594424083126 + 92594424083127.

It is an arithmetic number, because the mean of its divisors is an integer number (92594424083127).

Almost surely, 2^{185188848166253} is an apocalyptic number.

It is an amenable number.

185188848166253 is a deficient number, since it is larger than the sum of its proper divisors (1).

185188848166253 is an equidigital number, since it uses as much as digits as its factorization.

185188848166253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 707788800, while the sum is 74.

The spelling of 185188848166253 in words is "one hundred eighty-five trillion, one hundred eighty-eight billion, eight hundred forty-eight million, one hundred sixty-six thousand, two hundred fifty-three".