27017343148041 has 27 divisors (see below), whose sum is σ = 39139966854183. Its totient is φ = 17958679467840.

The previous prime is 27017343148031. The next prime is 27017343148051. The reversal of 27017343148041 is 14084134371072.

The square root of 27017343148041 is 5197821.

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

27017343148041 is a `hidden beast` number, since 2 + 7 + 0 + 173 + 431 + 4 + 8 + 0 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (27017343148031) and next prime (27017343148051).

It can be written as a sum of positive squares in only one way, i.e., 14604404908041 + 12412938240000 = 3821571^2 + 3523200^2 .

It is not a de Polignac number, because 27017343148041 - 2⁵ = 27017343148009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27017343148031) 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, 5722798561 + ... + 5722803281.

Almost surely, 2^{27017343148041} is an apocalyptic number.

27017343148041 is the 5197821-st square number.

27017343148041 is the 2598911-st centered octagonal number.

It is an amenable number.

27017343148041 is a deficient number, since it is larger than the sum of its proper divisors (12122623706142).

27017343148041 is an frugal number, since it uses more digits than its factorization.

27017343148041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10182 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 27017343148041 in words is "twenty-seven trillion, seventeen billion, three hundred forty-three million, one hundred forty-eight thousand, forty-one".