10334438916817 has 2 divisors, whose sum is σ = 10334438916818. Its totient is φ = 10334438916816.

The previous prime is 10334438916757. The next prime is 10334438916839. The reversal of 10334438916817 is 71861983443301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6992211429841 + 3342227486976 = 2644279^2 + 1828176^2 .

It is a cyclic number.

It is not a de Polignac number, because 10334438916817 - 2²³ = 10334430528209 is a prime.

It is a super-2 number, since 2×10334438916817² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10334438916847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5167219458408 + 5167219458409.

It is an arithmetic number, because the mean of its divisors is an integer number (5167219458409).

Almost surely, 2^{10334438916817} is an apocalyptic number.

It is an amenable number.

10334438916817 is a deficient number, since it is larger than the sum of its proper divisors (1).

10334438916817 is an equidigital number, since it uses as much as digits as its factorization.

10334438916817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 10334438916817 in words is "ten trillion, three hundred thirty-four billion, four hundred thirty-eight million, nine hundred sixteen thousand, eight hundred seventeen".