34293966133877 has 2 divisors, whose sum is σ = 34293966133878. Its totient is φ = 34293966133876.

The previous prime is 34293966133813. The next prime is 34293966133913. The reversal of 34293966133877 is 77833166939243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31220837928721 + 3073128205156 = 5587561^2 + 1753034^2 .

It is a cyclic number.

It is not a de Polignac number, because 34293966133877 - 2⁶ = 34293966133813 is a prime.

It is a super-2 number, since 2×34293966133877² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34293966133877.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34293966133577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17146983066938 + 17146983066939.

It is an arithmetic number, because the mean of its divisors is an integer number (17146983066939).

Almost surely, 2^{34293966133877} is an apocalyptic number.

It is an amenable number.

34293966133877 is a deficient number, since it is larger than the sum of its proper divisors (1).

34293966133877 is an equidigital number, since it uses as much as digits as its factorization.

34293966133877 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 740710656, while the sum is 71.

The spelling of 34293966133877 in words is "thirty-four trillion, two hundred ninety-three billion, nine hundred sixty-six million, one hundred thirty-three thousand, eight hundred seventy-seven".