966328649597401 has 2 divisors, whose sum is σ = 966328649597402. Its totient is φ = 966328649597400.

The previous prime is 966328649597351. The next prime is 966328649597447. The reversal of 966328649597401 is 104795946823669.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 866974104691776 + 99354544905625 = 29444424^2 + 9967675^2 .

It is an emirp because it is prime and its reverse (104795946823669) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 966328649597401 - 2¹³ = 966328649589209 is a prime.

It is not a weakly prime, because it can be changed into another prime (966328649592401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483164324798700 + 483164324798701.

It is an arithmetic number, because the mean of its divisors is an integer number (483164324798701).

It is a 2-persistent number, because it is pandigital, and so is 2⋅966328649597401 = 1932657299194802, but 3⋅966328649597401 = 2898985948792203 is not.

Almost surely, 2^{966328649597401} is an apocalyptic number.

It is an amenable number.

966328649597401 is a deficient number, since it is larger than the sum of its proper divisors (1).

966328649597401 is an equidigital number, since it uses as much as digits as its factorization.

966328649597401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4232632320, while the sum is 79.

The spelling of 966328649597401 in words is "nine hundred sixty-six trillion, three hundred twenty-eight billion, six hundred forty-nine million, five hundred ninety-seven thousand, four hundred one".