77044544416481 has 2 divisors, whose sum is σ = 77044544416482. Its totient is φ = 77044544416480.

The previous prime is 77044544416351. The next prime is 77044544416487. The reversal of 77044544416481 is 18461444544077.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55069459974400 + 21975084442081 = 7420880^2 + 4687759^2 .

It is a cyclic number.

It is not a de Polignac number, because 77044544416481 - 2¹⁰ = 77044544415457 is a prime.

It is a super-2 number, since 2×77044544416481² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77044544416481.

It is not a weakly prime, because it can be changed into another prime (77044544416487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38522272208240 + 38522272208241.

It is an arithmetic number, because the mean of its divisors is an integer number (38522272208241).

Almost surely, 2^{77044544416481} is an apocalyptic number.

It is an amenable number.

77044544416481 is a deficient number, since it is larger than the sum of its proper divisors (1).

77044544416481 is an equidigital number, since it uses as much as digits as its factorization.

77044544416481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48168960, while the sum is 59.

The spelling of 77044544416481 in words is "seventy-seven trillion, forty-four billion, five hundred forty-four million, four hundred sixteen thousand, four hundred eighty-one".