20964757441 has 2 divisors, whose sum is σ = 20964757442. Its totient is φ = 20964757440.

The previous prime is 20964757423. The next prime is 20964757447. The reversal of 20964757441 is 14475746902.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15544853041 + 5419904400 = 124679^2 + 73620^2 .

It is a cyclic number.

It is not a de Polignac number, because 20964757441 - 2⁹ = 20964756929 is a prime.

It is not a weakly prime, because it can be changed into another prime (20964757447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10482378720 + 10482378721.

It is an arithmetic number, because the mean of its divisors is an integer number (10482378721).

Almost surely, 2^20964757441 is an apocalyptic number.

It is an amenable number.

20964757441 is a deficient number, since it is larger than the sum of its proper divisors (1).

20964757441 is an equidigital number, since it uses as much as digits as its factorization.

20964757441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 20964757441 in words is "twenty billion, nine hundred sixty-four million, seven hundred fifty-seven thousand, four hundred forty-one".