34163664443401 has 2 divisors, whose sum is σ = 34163664443402. Its totient is φ = 34163664443400.

The previous prime is 34163664443387. The next prime is 34163664443443. The reversal of 34163664443401 is 10434446636143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23989963182025 + 10173701261376 = 4897955^2 + 3189624^2 .

It is a cyclic number.

It is not a de Polignac number, because 34163664443401 - 2⁵ = 34163664443369 is a prime.

It is not a weakly prime, because it can be changed into another prime (34163664473401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17081832221700 + 17081832221701.

It is an arithmetic number, because the mean of its divisors is an integer number (17081832221701).

Almost surely, 2^{34163664443401} is an apocalyptic number.

It is an amenable number.

34163664443401 is a deficient number, since it is larger than the sum of its proper divisors (1).

34163664443401 is an equidigital number, since it uses as much as digits as its factorization.

34163664443401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5971968, while the sum is 49.

The spelling of 34163664443401 in words is "thirty-four trillion, one hundred sixty-three billion, six hundred sixty-four million, four hundred forty-three thousand, four hundred one".