114005431456321 has 2 divisors, whose sum is σ = 114005431456322. Its totient is φ = 114005431456320.

The previous prime is 114005431456313. The next prime is 114005431456421. The reversal of 114005431456321 is 123654134500411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63664121840400 + 50341309615921 = 7978980^2 + 7095161^2 .

It is a cyclic number.

It is not a de Polignac number, because 114005431456321 - 2³ = 114005431456313 is a prime.

It is not a weakly prime, because it can be changed into another prime (114005431456421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57002715728160 + 57002715728161.

It is an arithmetic number, because the mean of its divisors is an integer number (57002715728161).

Almost surely, 2^{114005431456321} is an apocalyptic number.

It is an amenable number.

114005431456321 is a deficient number, since it is larger than the sum of its proper divisors (1).

114005431456321 is an equidigital number, since it uses as much as digits as its factorization.

114005431456321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 40.

Adding to 114005431456321 its reverse (123654134500411), we get a palindrome (237659565956732).

The spelling of 114005431456321 in words is "one hundred fourteen trillion, five billion, four hundred thirty-one million, four hundred fifty-six thousand, three hundred twenty-one".