185193378401 has 2 divisors, whose sum is σ = 185193378402. Its totient is φ = 185193378400.

The previous prime is 185193378343. The next prime is 185193378421. The reversal of 185193378401 is 104873391581.

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., 138224086225 + 46969292176 = 371785^2 + 216724^2 .

It is a cyclic number.

It is not a de Polignac number, because 185193378401 - 2¹⁴ = 185193362017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 185193378401.

It is not a weakly prime, because it can be changed into another prime (185193378421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 92596689200 + 92596689201.

It is an arithmetic number, because the mean of its divisors is an integer number (92596689201).

Almost surely, 2^185193378401 is an apocalyptic number.

It is an amenable number.

185193378401 is a deficient number, since it is larger than the sum of its proper divisors (1).

185193378401 is an equidigital number, since it uses as much as digits as its factorization.

185193378401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 50.

The spelling of 185193378401 in words is "one hundred eighty-five billion, one hundred ninety-three million, three hundred seventy-eight thousand, four hundred one".