26149800681 has 27 divisors (see below), whose sum is σ = 39878618871. Its totient is φ = 16509842064.

The previous prime is 26149800679. The next prime is 26149800701. The reversal of 26149800681 is 18600894162.

The square root of 26149800681 is 161709.

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., 895505625 + 25254295056 = 29925^2 + 158916^2 .

It is not a de Polignac number, because 26149800681 - 2¹ = 26149800679 is a prime.

It is a super-2 number, since 2×26149800681² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26149800181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9215995 + ... + 9218831.

Almost surely, 2^26149800681 is an apocalyptic number.

26149800681 is the 161709-th square number.

26149800681 is the 80855-th centered octagonal number.

It is an amenable number.

26149800681 is a deficient number, since it is larger than the sum of its proper divisors (13728818190).

26149800681 is an frugal number, since it uses more digits than its factorization.

26149800681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 26149800681 in words is "twenty-six billion, one hundred forty-nine million, eight hundred thousand, six hundred eighty-one".