35322352648001 has 2 divisors, whose sum is σ = 35322352648002. Its totient is φ = 35322352648000.

The previous prime is 35322352647947. The next prime is 35322352648027. The reversal of 35322352648001 is 10084625322353.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25054269419776 + 10268083228225 = 5005424^2 + 3204385^2 .

It is a cyclic number.

It is not a de Polignac number, because 35322352648001 - 2⁶ = 35322352647937 is a prime.

It is not a weakly prime, because it can be changed into another prime (35322352648031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17661176324000 + 17661176324001.

It is an arithmetic number, because the mean of its divisors is an integer number (17661176324001).

Almost surely, 2^{35322352648001} is an apocalyptic number.

It is an amenable number.

35322352648001 is a deficient number, since it is larger than the sum of its proper divisors (1).

35322352648001 is an equidigital number, since it uses as much as digits as its factorization.

35322352648001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 35322352648001 in words is "thirty-five trillion, three hundred twenty-two billion, three hundred fifty-two million, six hundred forty-eight thousand, one".