61648904161759 has 2 divisors, whose sum is σ = 61648904161760. Its totient is φ = 61648904161758.

The previous prime is 61648904161711. The next prime is 61648904161777. The reversal of 61648904161759 is 95716140984616.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 61648904161759 - 2¹⁹ = 61648903637471 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61648904161694 and 61648904161703.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61648904161259) 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, 30824452080879 + 30824452080880.

It is an arithmetic number, because the mean of its divisors is an integer number (30824452080880).

Almost surely, 2^{61648904161759} is an apocalyptic number.

61648904161759 is a deficient number, since it is larger than the sum of its proper divisors (1).

61648904161759 is an equidigital number, since it uses as much as digits as its factorization.

61648904161759 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78382080, while the sum is 67.

The spelling of 61648904161759 in words is "sixty-one trillion, six hundred forty-eight billion, nine hundred four million, one hundred sixty-one thousand, seven hundred fifty-nine".