26146726611769 has 9 divisors (see below), whose sum is σ = 26649645495823. Its totient is φ = 25653126251272.

The previous prime is 26146726611749. The next prime is 26146726611781. The reversal of 26146726611769 is 96711662764162.

It is a happy number.

The square root of 26146726611769 is 5113387.

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., 18849099818025 + 7297626793744 = 4341555^2 + 2701412^2 .

It is not a de Polignac number, because 26146726611769 - 2⁷ = 26146726611641 is a prime.

It is a super-2 number, since 2×26146726611769² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26146726611769.

It is not an unprimeable number, because it can be changed into a prime (26146726611749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 270961272 + ... + 271057750.

Almost surely, 2^{26146726611769} is an apocalyptic number.

26146726611769 is the 5113387-th square number.

26146726611769 is the 2556694-th centered octagonal number.

It is an amenable number.

26146726611769 is a deficient number, since it is larger than the sum of its proper divisors (502918884054).

26146726611769 is an frugal number, since it uses more digits than its factorization.

26146726611769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193064 (or 96532 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 64.

The spelling of 26146726611769 in words is "twenty-six trillion, one hundred forty-six billion, seven hundred twenty-six million, six hundred eleven thousand, seven hundred sixty-nine".