819318046401 has 12 divisors (see below), whose sum is σ = 1183473303012. Its totient is φ = 546205614336.

The previous prime is 819318046397. The next prime is 819318046433. The reversal of 819318046401 is 104640813918.

819318046401 is a `hidden beast` number, since 8 + 1 + 9 + 3 + 180 + 464 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 791503812225 + 27814234176 = 889665^2 + 166776^2 .

It is not a de Polignac number, because 819318046401 - 2² = 819318046397 is a prime.

It is a super-2 number, since 2×819318046401² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (819318048401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351225 + ... + 1327401.

It is an arithmetic number, because the mean of its divisors is an integer number (98622775251).

Almost surely, 2^819318046401 is an apocalyptic number.

It is an amenable number.

819318046401 is a deficient number, since it is larger than the sum of its proper divisors (364155256611).

819318046401 is a wasteful number, since it uses less digits than its factorization.

819318046401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069440 (or 1069437 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 819318046401 in words is "eight hundred nineteen billion, three hundred eighteen million, forty-six thousand, four hundred one".