57406413662729 has 2 divisors, whose sum is σ = 57406413662730. Its totient is φ = 57406413662728.

The previous prime is 57406413662707. The next prime is 57406413662747. The reversal of 57406413662729 is 92726631460475.

It is a happy number.

57406413662729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49247832582400 + 8158581080329 = 7017680^2 + 2856323^2 .

It is a cyclic number.

It is not a de Polignac number, because 57406413662729 - 2⁸ = 57406413662473 is a prime.

It is not a weakly prime, because it can be changed into another prime (57406413662749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28703206831364 + 28703206831365.

It is an arithmetic number, because the mean of its divisors is an integer number (28703206831365).

Almost surely, 2^{57406413662729} is an apocalyptic number.

It is an amenable number.

57406413662729 is a deficient number, since it is larger than the sum of its proper divisors (1).

57406413662729 is an equidigital number, since it uses as much as digits as its factorization.

57406413662729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 91445760, while the sum is 62.

The spelling of 57406413662729 in words is "fifty-seven trillion, four hundred six billion, four hundred thirteen million, six hundred sixty-two thousand, seven hundred twenty-nine".