34459347541 has 2 divisors, whose sum is σ = 34459347542. Its totient is φ = 34459347540.

The previous prime is 34459347521. The next prime is 34459347577. The reversal of 34459347541 is 14574395443.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33602556100 + 856791441 = 183310^2 + 29271^2 .

It is a cyclic number.

It is not a de Polignac number, because 34459347541 - 2¹¹ = 34459345493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34459347521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17229673770 + 17229673771.

It is an arithmetic number, because the mean of its divisors is an integer number (17229673771).

Almost surely, 2^34459347541 is an apocalyptic number.

It is an amenable number.

34459347541 is a deficient number, since it is larger than the sum of its proper divisors (1).

34459347541 is an equidigital number, since it uses as much as digits as its factorization.

34459347541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3628800, while the sum is 49.

The spelling of 34459347541 in words is "thirty-four billion, four hundred fifty-nine million, three hundred forty-seven thousand, five hundred forty-one".