171045545040 has 60 divisors (see below), whose sum is σ = 574427957844. Its totient is φ = 45612145152.

The previous prime is 171045545023. The next prime is 171045545059. The reversal of 171045545040 is 40545540171.

171045545040 is a `hidden beast` number, since 1 + 7 + 10 + 4 + 554 + 50 + 40 = 666.

171045545040 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 36799516224 + 134246028816 = 191832^2 + 366396^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 171045544986 and 171045545004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118780909 + ... + 118782348.

Almost surely, 2^171045545040 is an apocalyptic number.

171045545040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

171045545040 is an abundant number, since it is smaller than the sum of its proper divisors (403382412804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

171045545040 is a wasteful number, since it uses less digits than its factorization.

171045545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237563276 (or 237563267 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 171045545040 in words is "one hundred seventy-one billion, forty-five million, five hundred forty-five thousand, forty".