34114541331035 has 64 divisors (see below), whose sum is σ = 47589967272960. Its totient is φ = 23201163755520.

The previous prime is 34114541331007. The next prime is 34114541331043. The reversal of 34114541331035 is 53013314541143.

It is not a de Polignac number, because 34114541331035 - 2²² = 34114537136731 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34114541331035.

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 63 ways as a sum of consecutive naturals, for example, 366425771 + ... + 366518859.

It is an arithmetic number, because the mean of its divisors is an integer number (743593238640).

Almost surely, 2^{34114541331035} is an apocalyptic number.

34114541331035 is a deficient number, since it is larger than the sum of its proper divisors (13475425941925).

34114541331035 is a wasteful number, since it uses less digits than its factorization.

34114541331035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95636.

The product of its (nonzero) digits is 129600, while the sum is 38.

Adding to 34114541331035 its reverse (53013314541143), we get a palindrome (87127855872178).

The spelling of 34114541331035 in words is "thirty-four trillion, one hundred fourteen billion, five hundred forty-one million, three hundred thirty-one thousand, thirty-five".