961431121134169 has 16 divisors (see below), whose sum is σ = 1122216375379968. Its totient is φ = 806507219910672.

The previous prime is 961431121134083. The next prime is 961431121134173.

961431121134169 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 961431121134169 - 2¹⁷ = 961431121003097 is a prime.

It is a super-2 number, since 2×961431121134169² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (961461121134169) 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 in 15 ways as a sum of consecutive naturals, for example, 71521707 + ... + 83894080.

It is an arithmetic number, because the mean of its divisors is an integer number (70138523461248).

Almost surely, 2^{961431121134169} is an apocalyptic number.

It is an amenable number.

961431121134169 is a deficient number, since it is larger than the sum of its proper divisors (160785254245799).

961431121134169 is a wasteful number, since it uses less digits than its factorization.

961431121134169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155434644.

The product of its digits is 839808, while the sum is 52.

The spelling of 961431121134169 in words is "nine hundred sixty-one trillion, four hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-four thousand, one hundred sixty-nine".