12927828789841 has 27 divisors (see below), whose sum is σ = 15111188809371. Its totient is φ = 11027688792624.

The previous prime is 12927828789803. The next prime is 12927828789857. The reversal of 12927828789841 is 14898782872921.

The square root of 12927828789841 is 3595529.

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

12927828789841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12040351746241 + 887477043600 = 3469921^2 + 942060^2 .

It is not a de Polignac number, because 12927828789841 - 2¹⁵ = 12927828757073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12927828789871) 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, 5763631866 + ... + 5763634108.

Almost surely, 2^{12927828789841} is an apocalyptic number.

12927828789841 is the 3595529-th square number.

12927828789841 is the 1797765-th centered octagonal number.

It is an amenable number.

12927828789841 is a deficient number, since it is larger than the sum of its proper divisors (2183360019530).

12927828789841 is an frugal number, since it uses more digits than its factorization.

12927828789841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4958 (or 2479 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 76.

The spelling of 12927828789841 in words is "twelve trillion, nine hundred twenty-seven billion, eight hundred twenty-eight million, seven hundred eighty-nine thousand, eight hundred forty-one".