814034252641 has 2 divisors, whose sum is σ = 814034252642. Its totient is φ = 814034252640.

The previous prime is 814034252611. The next prime is 814034252663. The reversal of 814034252641 is 146252430418.

It is a happy number.

814034252641 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., 699330787600 + 114703465041 = 836260^2 + 338679^2 .

It is a cyclic number.

It is not a de Polignac number, because 814034252641 - 2¹³ = 814034244449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 814034252594 and 814034252603.

It is not a weakly prime, because it can be changed into another prime (814034252611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407017126320 + 407017126321.

It is an arithmetic number, because the mean of its divisors is an integer number (407017126321).

Almost surely, 2^814034252641 is an apocalyptic number.

It is an amenable number.

814034252641 is a deficient number, since it is larger than the sum of its proper divisors (1).

814034252641 is an equidigital number, since it uses as much as digits as its factorization.

814034252641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 814034252641 in words is "eight hundred fourteen billion, thirty-four million, two hundred fifty-two thousand, six hundred forty-one".