26948177281 has 9 divisors (see below), whose sum is σ = 27166446723. Its totient is φ = 26731651560.

The previous prime is 26948177257. The next prime is 26948177327. The reversal of 26948177281 is 18277184962.

The square root of 26948177281 is 164159.

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., 24714669681 + 2233507600 = 157209^2 + 47260^2 .

It is not a de Polignac number, because 26948177281 - 2⁹ = 26948176769 is a prime.

It is a super-2 number, since 2×26948177281² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26948117281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22817511 + ... + 22818691.

Almost surely, 2^26948177281 is an apocalyptic number.

26948177281 is the 164159-th square number.

26948177281 is the 82080-th centered octagonal number.

It is an amenable number.

26948177281 is a deficient number, since it is larger than the sum of its proper divisors (218269442).

26948177281 is an frugal number, since it uses more digits than its factorization.

26948177281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 1320 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 55.

The spelling of 26948177281 in words is "twenty-six billion, nine hundred forty-eight million, one hundred seventy-seven thousand, two hundred eighty-one".