814000928401 has 6 divisors (see below), whose sum is σ = 864699948470. Its totient is φ = 766118520576.

The previous prime is 814000928359. The next prime is 814000928431. The reversal of 814000928401 is 104829000418.

It is a Cunningham number, because it is equal to 902220²+1.

It can be written as a sum of positive squares in 3 ways, for example, as 252626864400 + 561374064001 = 502620^2 + 749249^2 .

It is not a de Polignac number, because 814000928401 - 2¹¹ = 814000926353 is a prime.

It is a super-2 number, since 2×814000928401² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (814000928431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1408305816 + ... + 1408306393.

Almost surely, 2^814000928401 is an apocalyptic number.

It is an amenable number.

814000928401 is a deficient number, since it is larger than the sum of its proper divisors (50699020069).

814000928401 is a wasteful number, since it uses less digits than its factorization.

814000928401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816612243 (or 2816612226 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

Adding to 814000928401 its reverse (104829000418), we get a palindrome (918829928819).

The spelling of 814000928401 in words is "eight hundred fourteen billion, nine hundred twenty-eight thousand, four hundred one".