89989716936681 has 27 divisors (see below), whose sum is σ = 130946542248613. Its totient is φ = 59552658188160.

The previous prime is 89989716936629. The next prime is 89989716936781. The reversal of 89989716936681 is 18663961798998.

The square root of 89989716936681 is 9486291.

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

89989716936681 is a `hidden beast` number, since 8 + 9 + 9 + 8 + 9 + 7 + 169 + 366 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 512949602025 + 89476767334656 = 716205^2 + 9459216^2 .

It is not a de Polignac number, because 89989716936681 - 2⁹ = 89989716936169 is a prime.

It is a super-2 number, since 2×89989716936681² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 89989716936591 and 89989716936600.

It is not an unprimeable number, because it can be changed into a prime (89989716936481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3898854061 + ... + 3898877141.

Almost surely, 2^{89989716936681} is an apocalyptic number.

89989716936681 is the 9486291-st square number.

89989716936681 is the 4743146-th centered octagonal number.

It is an amenable number.

89989716936681 is a deficient number, since it is larger than the sum of its proper divisors (40956825311932).

89989716936681 is an frugal number, since it uses more digits than its factorization.

89989716936681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46442 (or 23221 counting only the distinct ones).

The product of its digits is 15237476352, while the sum is 90.

The spelling of 89989716936681 in words is "eighty-nine trillion, nine hundred eighty-nine billion, seven hundred sixteen million, nine hundred thirty-six thousand, six hundred eighty-one".