171131440385 has 16 divisors (see below), whose sum is σ = 218264741760. Its totient is φ = 128440391040.

The previous prime is 171131440373. The next prime is 171131440429. The reversal of 171131440385 is 583044131171.

It is a happy number.

It is not a de Polignac number, because 171131440385 - 2³⁶ = 102411963649 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8734796 + ... + 8754365.

It is an arithmetic number, because the mean of its divisors is an integer number (13641546360).

Almost surely, 2^171131440385 is an apocalyptic number.

It is an amenable number.

171131440385 is a deficient number, since it is larger than the sum of its proper divisors (47133301375).

171131440385 is a wasteful number, since it uses less digits than its factorization.

171131440385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17489288.

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 171131440385 in words is "one hundred seventy-one billion, one hundred thirty-one million, four hundred forty thousand, three hundred eighty-five".