8802181121409 has 81 divisors (see below), whose sum is σ = 13899978513603. Its totient is φ = 5365103706144.

The previous prime is 8802181121387. The next prime is 8802181121417. The reversal of 8802181121409 is 9041211812088.

It is a happy number.

The square root of 8802181121409 is 2966847.

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

8802181121409 is a `hidden beast` number, since 8 + 8 + 0 + 218 + 1 + 1 + 21 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1302097799025 + 7500083322384 = 1141095^2 + 2738628^2 .

It is not a de Polignac number, because 8802181121409 - 2⁹ = 8802181120897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8802181120409) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14694792892 + ... + 14694793490.

Almost surely, 2^{8802181121409} is an apocalyptic number.

8802181121409 is the 2966847-th square number.

8802181121409 is the 1483424-th centered octagonal number.

It is an amenable number.

8802181121409 is a deficient number, since it is larger than the sum of its proper divisors (5097797392194).

8802181121409 is an equidigital number, since it uses as much as digits as its factorization.

8802181121409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 8802181121409 in words is "eight trillion, eight hundred two billion, one hundred eighty-one million, one hundred twenty-one thousand, four hundred nine".