8121073689 has 135 divisors (see below), whose sum is σ = 14053935951. Its totient is φ = 4671665280.

The previous prime is 8121073687. The next prime is 8121073739. The reversal of 8121073689 is 9863701218.

The square root of 8121073689 is 90117.

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

It can be written as a sum of positive squares in only one way, i.e., 6322635225 + 1798438464 = 79515^2 + 42408^2 .

It is not a de Polignac number, because 8121073689 - 2¹ = 8121073687 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8121073687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 261970104 + ... + 261970134.

Almost surely, 2^8121073689 is an apocalyptic number.

8121073689 is the 90117-th square number.

8121073689 is the 45059-th centered octagonal number.

It is an amenable number.

8121073689 is a deficient number, since it is larger than the sum of its proper divisors (5932862262).

8121073689 is a wasteful number, since it uses less digits than its factorization.

8121073689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The cubic root of 8121073689 is about 2010.0389990205.

The spelling of 8121073689 in words is "eight billion, one hundred twenty-one million, seventy-three thousand, six hundred eighty-nine".