43781604576289 has 2 divisors, whose sum is σ = 43781604576290. Its totient is φ = 43781604576288.

The previous prime is 43781604576251. The next prime is 43781604576293. The reversal of 43781604576289 is 98267540618734.

43781604576289 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., 22238156590225 + 21543447986064 = 4715735^2 + 4641492^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-43781604576289 is a prime.

It is not a weakly prime, because it can be changed into another prime (43781604576239) 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, 21890802288144 + 21890802288145.

It is an arithmetic number, because the mean of its divisors is an integer number (21890802288145).

It is a 1-persistent number, because it is pandigital, but 2⋅43781604576289 = 87563209152578 is not.

Almost surely, 2^{43781604576289} is an apocalyptic number.

It is an amenable number.

43781604576289 is a deficient number, since it is larger than the sum of its proper divisors (1).

43781604576289 is an equidigital number, since it uses as much as digits as its factorization.

43781604576289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 487710720, while the sum is 70.

The spelling of 43781604576289 in words is "forty-three trillion, seven hundred eighty-one billion, six hundred four million, five hundred seventy-six thousand, two hundred eighty-nine".