34126354892161 has 12 divisors (see below), whose sum is σ = 40666248689220. Its totient is φ = 28537718375040.

The previous prime is 34126354892101. The next prime is 34126354892183. The reversal of 34126354892161 is 16129845362143.

It can be written as a sum of positive squares in 2 ways, for example, as 935862760000 + 33190492132161 = 967400^2 + 5761119^2 .

It is not a de Polignac number, because 34126354892161 - 2³³ = 34117764957569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34126354892101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8493366556 + ... + 8493370573.

It is an arithmetic number, because the mean of its divisors is an integer number (3388854057435).

Almost surely, 2^{34126354892161} is an apocalyptic number.

It is an amenable number.

34126354892161 is a deficient number, since it is larger than the sum of its proper divisors (6539893797059).

34126354892161 is a wasteful number, since it uses less digits than its factorization.

34126354892161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16986737184 (or 16986737177 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 55.

The spelling of 34126354892161 in words is "thirty-four trillion, one hundred twenty-six billion, three hundred fifty-four million, eight hundred ninety-two thousand, one hundred sixty-one".