26814966952489 has 27 divisors (see below), whose sum is σ = 28410535980567. Its totient is φ = 25305316662528.

The previous prime is 26814966952471. The next prime is 26814966952511. The reversal of 26814966952489 is 98425966941862.

The square root of 26814966952489 is 5178317.

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., 16386975974889 + 10427990977600 = 4048083^2 + 3229240^2 .

It is not a de Polignac number, because 26814966952489 - 2⁵ = 26814966952457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26814966952439) 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 26 ways as a sum of consecutive naturals, for example, 44176222024 + ... + 44176222630.

Almost surely, 2^{26814966952489} is an apocalyptic number.

26814966952489 is the 5178317-th square number.

26814966952489 is the 2589159-th centered octagonal number.

It is an amenable number.

26814966952489 is a deficient number, since it is larger than the sum of its proper divisors (1595569028078).

26814966952489 is an frugal number, since it uses more digits than its factorization.

26814966952489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 1075 counting only the distinct ones).

The product of its digits is 3224862720, while the sum is 79.

The spelling of 26814966952489 in words is "twenty-six trillion, eight hundred fourteen billion, nine hundred sixty-six million, nine hundred fifty-two thousand, four hundred eighty-nine".