34431234441125 has 16 divisors (see below), whose sum is σ = 42970374982704. Its totient is φ = 27544862937600.

The previous prime is 34431234441091. The next prime is 34431234441181. The reversal of 34431234441125 is 52114443213443.

It can be written as a sum of positive squares in 8 ways, for example, as 28018802571841 + 6412431869284 = 5293279^2 + 2532278^2 .

It is not a de Polignac number, because 34431234441125 - 2¹⁸ = 34431234178981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35427677 + ... + 36386573.

It is an arithmetic number, because the mean of its divisors is an integer number (2685648436419).

Almost surely, 2^{34431234441125} is an apocalyptic number.

It is an amenable number.

34431234441125 is a deficient number, since it is larger than the sum of its proper divisors (8539140541579).

34431234441125 is an equidigital number, since it uses as much as digits as its factorization.

34431234441125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246169 (or 1246159 counting only the distinct ones).

The product of its digits is 552960, while the sum is 41.

Adding to 34431234441125 its reverse (52114443213443), we get a palindrome (86545677654568).

The spelling of 34431234441125 in words is "thirty-four trillion, four hundred thirty-one billion, two hundred thirty-four million, four hundred forty-one thousand, one hundred twenty-five".