26355173445441 has 27 divisors (see below), whose sum is σ = 38451501848227. Its totient is φ = 17395127343600.

The previous prime is 26355173445409. The next prime is 26355173445499. The reversal of 26355173445441 is 14454437155362.

The square root of 26355173445441 is 5133729.

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

26355173445441 is a `hidden beast` number, since 2 + 6 + 3 + 5 + 51 + 7 + 3 + 44 + 544 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25321738549041 + 1033434896400 = 5032071^2 + 1016580^2 .

It is not a de Polignac number, because 26355173445441 - 2⁵ = 26355173445409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26355173445241) 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, 1555511416 + ... + 1555528358.

Almost surely, 2^{26355173445441} is an apocalyptic number.

26355173445441 is the 5133729-th square number.

26355173445441 is the 2566865-th centered octagonal number.

It is an amenable number.

26355173445441 is a deficient number, since it is larger than the sum of its proper divisors (12096328402786).

26355173445441 is an frugal number, since it uses more digits than its factorization.

26355173445441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34094 (or 17047 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 54.

The spelling of 26355173445441 in words is "twenty-six trillion, three hundred fifty-five billion, one hundred seventy-three million, four hundred forty-five thousand, four hundred forty-one".