385198518401 has 2 divisors, whose sum is σ = 385198518402. Its totient is φ = 385198518400.

The previous prime is 385198518361. The next prime is 385198518421. The reversal of 385198518401 is 104815891583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 384398760001 + 799758400 = 619999^2 + 28280^2 .

It is a cyclic number.

It is not a de Polignac number, because 385198518401 - 2¹⁸ = 385198256257 is a prime.

It is not a weakly prime, because it can be changed into another prime (385198518421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192599259200 + 192599259201.

It is an arithmetic number, because the mean of its divisors is an integer number (192599259201).

Almost surely, 2^385198518401 is an apocalyptic number.

It is an amenable number.

385198518401 is a deficient number, since it is larger than the sum of its proper divisors (1).

385198518401 is an equidigital number, since it uses as much as digits as its factorization.

385198518401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1382400, while the sum is 53.

The spelling of 385198518401 in words is "three hundred eighty-five billion, one hundred ninety-eight million, five hundred eighteen thousand, four hundred one".