18528642769081 has 9 divisors (see below), whose sum is σ = 18560114546191. Its totient is φ = 18497224289272.

The previous prime is 18528642769037. The next prime is 18528642769093. The reversal of 18528642769081 is 18096724682581.

The square root of 18528642769081 is 4304491.

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., 448424426025 + 18080218343056 = 669645^2 + 4252084^2 .

It is not a de Polignac number, because 18528642769081 - 2¹³ = 18528642760889 is a prime.

It is a super-2 number, since 2×18528642769081² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18528642768998 and 18528642769016.

It is not an unprimeable number, because it can be changed into a prime (18528642767081) 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, 2785002351 + ... + 2785009003.

Almost surely, 2^{18528642769081} is an apocalyptic number.

18528642769081 is the 4304491-st square number.

18528642769081 is the 2152246-th centered octagonal number.

It is an amenable number.

18528642769081 is a deficient number, since it is larger than the sum of its proper divisors (31471777110).

18528642769081 is an frugal number, since it uses more digits than its factorization.

18528642769081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14600 (or 7300 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 67.

The spelling of 18528642769081 in words is "eighteen trillion, five hundred twenty-eight billion, six hundred forty-two million, seven hundred sixty-nine thousand, eighty-one".