353684565486401 has 2 divisors, whose sum is σ = 353684565486402. Its totient is φ = 353684565486400.

The previous prime is 353684565486347. The next prime is 353684565486431. The reversal of 353684565486401 is 104684565486353.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 335172758060176 + 18511807426225 = 18307724^2 + 4302535^2 .

It is a cyclic number.

It is not a de Polignac number, because 353684565486401 - 2³⁰ = 353683491744577 is a prime.

It is not a weakly prime, because it can be changed into another prime (353684565486431) 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, 176842282743200 + 176842282743201.

It is an arithmetic number, because the mean of its divisors is an integer number (176842282743201).

Almost surely, 2^{353684565486401} is an apocalyptic number.

It is an amenable number.

353684565486401 is a deficient number, since it is larger than the sum of its proper divisors (1).

353684565486401 is an equidigital number, since it uses as much as digits as its factorization.

353684565486401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 995328000, while the sum is 68.

The spelling of 353684565486401 in words is "three hundred fifty-three trillion, six hundred eighty-four billion, five hundred sixty-five million, four hundred eighty-six thousand, four hundred one".