34400454217 has 2 divisors, whose sum is σ = 34400454218. Its totient is φ = 34400454216.

The previous prime is 34400454203. The next prime is 34400454251. The reversal of 34400454217 is 71245400443.

It is an a-pointer prime, because the next prime (34400454251) can be obtained adding 34400454217 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30260689936 + 4139764281 = 173956^2 + 64341^2 .

It is a cyclic number.

It is not a de Polignac number, because 34400454217 - 2¹¹ = 34400452169 is a prime.

It is not a weakly prime, because it can be changed into another prime (34400454317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17200227108 + 17200227109.

It is an arithmetic number, because the mean of its divisors is an integer number (17200227109).

Almost surely, 2^34400454217 is an apocalyptic number.

It is an amenable number.

34400454217 is a deficient number, since it is larger than the sum of its proper divisors (1).

34400454217 is an equidigital number, since it uses as much as digits as its factorization.

34400454217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 34.

The spelling of 34400454217 in words is "thirty-four billion, four hundred million, four hundred fifty-four thousand, two hundred seventeen".