34534511414125 has 8 divisors (see below), whose sum is σ = 43099070244984. Its totient is φ = 27627609131200.

The previous prime is 34534511414101. The next prime is 34534511414131. The reversal of 34534511414125 is 52141411543543.

34534511414125 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 615931444969 + 33918579969156 = 784813^2 + 5823966^2 .

It is a de Polignac number, because none of the positive numbers 2^k-34534511414125 is a prime.

It is a super-2 number, since 2×34534511414125² (a number of 28 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138138045532 + ... + 138138045781.

It is an arithmetic number, because the mean of its divisors is an integer number (5387383780623).

Almost surely, 2^{34534511414125} is an apocalyptic number.

It is an amenable number.

34534511414125 is a deficient number, since it is larger than the sum of its proper divisors (8564558830859).

34534511414125 is an equidigital number, since it uses as much as digits as its factorization.

34534511414125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276276091328 (or 276276091318 counting only the distinct ones).

The product of its digits is 576000, while the sum is 43.

Adding to 34534511414125 its reverse (52141411543543), we get a palindrome (86675922957668).

The spelling of 34534511414125 in words is "thirty-four trillion, five hundred thirty-four billion, five hundred eleven million, four hundred fourteen thousand, one hundred twenty-five".