34173132116841 has 135 divisors (see below), whose sum is σ = 52933474292853. Its totient is φ = 21970775793600.

The previous prime is 34173132116821. The next prime is 34173132116863. The reversal of 34173132116841 is 14861123137143.

The square root of 34173132116841 is 5845779.

It is a perfect power (a square), and thus also a powerful number.

34173132116841 is a `hidden beast` number, since 3 + 41 + 7 + 313 + 211 + 6 + 84 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17194117403241 + 16979014713600 = 4146579^2 + 4120560^2 .

It is not a de Polignac number, because 34173132116841 - 2²⁷ = 34172997899113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34173132116801) 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 134 ways as a sum of consecutive naturals, for example, 313514973495 + ... + 313514973603.

Almost surely, 2^{34173132116841} is an apocalyptic number.

34173132116841 is the 5845779-th square number.

34173132116841 is the 2922890-th centered octagonal number.

It is an amenable number.

34173132116841 is a deficient number, since it is larger than the sum of its proper divisors (18760342176012).

34173132116841 is an frugal number, since it uses more digits than its factorization.

34173132116841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 272 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 34173132116841 in words is "thirty-four trillion, one hundred seventy-three billion, one hundred thirty-two million, one hundred sixteen thousand, eight hundred forty-one".