33871089681 has 125 divisors (see below), whose sum is σ = 60294881405. Its totient is φ = 18948861360.

The previous prime is 33871089643. The next prime is 33871089739. The reversal of 33871089681 is 18698017833.

The square root of 33871089681 is 184041.

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

It can be written as a sum of positive squares in 2 ways, for example, as 16793827281 + 17077262400 = 129591^2 + 130680^2 .

It is not a de Polignac number, because 33871089681 - 2¹⁷ = 33870958609 is a prime.

It is a super-2 number, since 2×33871089681² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33871089631) 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 124 ways as a sum of consecutive naturals, for example, 2605468431 + ... + 2605468443.

Almost surely, 2^33871089681 is an apocalyptic number.

33871089681 is the 184041-st square number.

33871089681 is the 92021-st centered octagonal number.

It is an amenable number.

33871089681 is a deficient number, since it is larger than the sum of its proper divisors (26423791724).

33871089681 is an frugal number, since it uses more digits than its factorization.

33871089681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 33871089681 in words is "thirty-three billion, eight hundred seventy-one million, eighty-nine thousand, six hundred eighty-one".