10947508914817 has 2 divisors, whose sum is σ = 10947508914818. Its totient is φ = 10947508914816.

The previous prime is 10947508914779. The next prime is 10947508914893. The reversal of 10947508914817 is 71841980574901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10327070707776 + 620438207041 = 3213576^2 + 787679^2 .

It is a cyclic number.

It is not a de Polignac number, because 10947508914817 - 2¹⁵ = 10947508882049 is a prime.

It is not a weakly prime, because it can be changed into another prime (10947508914917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5473754457408 + 5473754457409.

It is an arithmetic number, because the mean of its divisors is an integer number (5473754457409).

Almost surely, 2^{10947508914817} is an apocalyptic number.

It is an amenable number.

10947508914817 is a deficient number, since it is larger than the sum of its proper divisors (1).

10947508914817 is an equidigital number, since it uses as much as digits as its factorization.

10947508914817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20321280, while the sum is 64.

The spelling of 10947508914817 in words is "ten trillion, nine hundred forty-seven billion, five hundred eight million, nine hundred fourteen thousand, eight hundred seventeen".