34311712018093 has 2 divisors, whose sum is σ = 34311712018094. Its totient is φ = 34311712018092.

The previous prime is 34311712018061. The next prime is 34311712018169. The reversal of 34311712018093 is 39081021711343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18704258324964 + 15607453693129 = 4324842^2 + 3950627^2 .

It is a cyclic number.

It is not a de Polignac number, because 34311712018093 - 2⁵ = 34311712018061 is a prime.

It is a super-2 number, since 2×34311712018093² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34311712018013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17155856009046 + 17155856009047.

It is an arithmetic number, because the mean of its divisors is an integer number (17155856009047).

Almost surely, 2^{34311712018093} is an apocalyptic number.

It is an amenable number.

34311712018093 is a deficient number, since it is larger than the sum of its proper divisors (1).

34311712018093 is an equidigital number, since it uses as much as digits as its factorization.

34311712018093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 34311712018093 in words is "thirty-four trillion, three hundred eleven billion, seven hundred twelve million, eighteen thousand, ninety-three".