171015461434945 has 24 divisors (see below), whose sum is σ = 220158751472568. Its totient is φ = 127489685760000.

The previous prime is 171015461434871. The next prime is 171015461434957. The reversal of 171015461434945 is 549434164510171.

It is a happy number.

It is a Cunningham number, because it is equal to 13077288²+1.

It can be written as a sum of positive squares in 12 ways, for example, as 24905170098064 + 146110291336881 = 4990508^2 + 12087609^2 .

It is not a de Polignac number, because 171015461434945 - 2¹³ = 171015461426753 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 585744156 + ... + 586036045.

It is an arithmetic number, because the mean of its divisors is an integer number (9173281311357).

Almost surely, 2^{171015461434945} is an apocalyptic number.

It is an amenable number.

171015461434945 is a deficient number, since it is larger than the sum of its proper divisors (49143290037623).

171015461434945 is a wasteful number, since it uses less digits than its factorization.

171015461434945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171780341 (or 1171780324 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 171015461434945 in words is "one hundred seventy-one trillion, fifteen billion, four hundred sixty-one million, four hundred thirty-four thousand, nine hundred forty-five".