8662667584081 has 81 divisors (see below), whose sum is σ = 10698597109809. Its totient is φ = 6993140616000.

The previous prime is 8662667584027. The next prime is 8662667584091. The reversal of 8662667584081 is 1804857662668.

The square root of 8662667584081 is 2943241.

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

It can be written as a sum of positive squares in 4 ways, for example, as 76595544081 + 8586072040000 = 276759^2 + 2930200^2 .

It is not a de Polignac number, because 8662667584081 - 2¹³ = 8662667575889 is a prime.

It is a super-2 number, since 2×8662667584081² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8662667583998 and 8662667584016.

It is not an unprimeable number, because it can be changed into a prime (8662667584091) 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 80 ways as a sum of consecutive naturals, for example, 47860041811 + ... + 47860041991.

Almost surely, 2^{8662667584081} is an apocalyptic number.

8662667584081 is the 2943241-st square number.

8662667584081 is the 1471621-st centered octagonal number.

It is an amenable number.

8662667584081 is a deficient number, since it is larger than the sum of its proper divisors (2035929525728).

8662667584081 is an equidigital number, since it uses as much as digits as its factorization.

8662667584081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 67.

The spelling of 8662667584081 in words is "eight trillion, six hundred sixty-two billion, six hundred sixty-seven million, five hundred eighty-four thousand, eighty-one".