4755706431121 has 2 divisors, whose sum is σ = 4755706431122. Its totient is φ = 4755706431120.

The previous prime is 4755706431109. The next prime is 4755706431131. The reversal of 4755706431121 is 1211346075574.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4293449220096 + 462257211025 = 2072064^2 + 679895^2 .

It is a cyclic number.

It is not a de Polignac number, because 4755706431121 - 2¹¹ = 4755706429073 is a prime.

It is not a weakly prime, because it can be changed into another prime (4755706431131) 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, 2377853215560 + 2377853215561.

It is an arithmetic number, because the mean of its divisors is an integer number (2377853215561).

Almost surely, 2^{4755706431121} is an apocalyptic number.

It is an amenable number.

4755706431121 is a deficient number, since it is larger than the sum of its proper divisors (1).

4755706431121 is an equidigital number, since it uses as much as digits as its factorization.

4755706431121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 4755706431121 in words is "four trillion, seven hundred fifty-five billion, seven hundred six million, four hundred thirty-one thousand, one hundred twenty-one".