34144313186117 has 2 divisors, whose sum is σ = 34144313186118. Its totient is φ = 34144313186116.

The previous prime is 34144313186107. The next prime is 34144313186147. The reversal of 34144313186117 is 71168131344143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31228582768516 + 2915730417601 = 5588254^2 + 1707551^2 .

It is a cyclic number.

It is not a de Polignac number, because 34144313186117 - 2³⁴ = 34127133316933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34144313186107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17072156593058 + 17072156593059.

It is an arithmetic number, because the mean of its divisors is an integer number (17072156593059).

Almost surely, 2^{34144313186117} is an apocalyptic number.

It is an amenable number.

34144313186117 is a deficient number, since it is larger than the sum of its proper divisors (1).

34144313186117 is an equidigital number, since it uses as much as digits as its factorization.

34144313186117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 580608, while the sum is 47.

The spelling of 34144313186117 in words is "thirty-four trillion, one hundred forty-four billion, three hundred thirteen million, one hundred eighty-six thousand, one hundred seventeen".