2688816137121 has 9 divisors (see below), whose sum is σ = 3883852637041. Its totient is φ = 1792540811892.

The previous prime is 2688816137083. The next prime is 2688816137167. The reversal of 2688816137121 is 1217316188862.

The square root of 2688816137121 is 1639761.

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

2688816137121 is a `hidden beast` number, since 2 + 6 + 8 + 8 + 8 + 1 + 613 + 7 + 12 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2688816137121 - 2¹⁵ = 2688816104353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2688816137221) 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 8 ways as a sum of consecutive naturals, for example, 4645990 + ... + 5192576.

Almost surely, 2^{2688816137121} is an apocalyptic number.

2688816137121 is the 1639761-st square number.

2688816137121 is the 819881-st centered octagonal number.

It is an amenable number.

2688816137121 is a deficient number, since it is larger than the sum of its proper divisors (1195036499920).

2688816137121 is an frugal number, since it uses more digits than its factorization.

2688816137121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093180 (or 546590 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 2688816137121 in words is "two trillion, six hundred eighty-eight billion, eight hundred sixteen million, one hundred thirty-seven thousand, one hundred twenty-one".