34807468478441 has 2 divisors, whose sum is σ = 34807468478442. Its totient is φ = 34807468478440.

The previous prime is 34807468478381. The next prime is 34807468478509. The reversal of 34807468478441 is 14487486470843.

It is an a-pointer prime, because the next prime (34807468478509) can be obtained adding 34807468478441 to its sum of digits (68).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30898033960000 + 3909434518441 = 5558600^2 + 1977229^2 .

It is a cyclic number.

It is not a de Polignac number, because 34807468478441 - 2³⁴ = 34790288609257 is a prime.

It is not a weakly prime, because it can be changed into another prime (34807468478641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17403734239220 + 17403734239221.

It is an arithmetic number, because the mean of its divisors is an integer number (17403734239221).

Almost surely, 2^{34807468478441} is an apocalyptic number.

It is an amenable number.

34807468478441 is a deficient number, since it is larger than the sum of its proper divisors (1).

34807468478441 is an equidigital number, since it uses as much as digits as its factorization.

34807468478441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 462422016, while the sum is 68.

The spelling of 34807468478441 in words is "thirty-four trillion, eight hundred seven billion, four hundred sixty-eight million, four hundred seventy-eight thousand, four hundred forty-one".