171185112686340 has 72 divisors (see below), whose sum is σ = 520500796320960. Its totient is φ = 45540415001664.

The previous prime is 171185112686321. The next prime is 171185112686447. The reversal of 171185112686340 is 43686211581171.

171185112686340 is a `hidden beast` number, since 1 + 7 + 1 + 1 + 8 + 511 + 2 + 6 + 86 + 3 + 40 = 666.

It is a super-2 number, since 2×171185112686340² (a number of 29 digits) contains 22 as substring.

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, 1134803344 + ... + 1134954183.

It is an arithmetic number, because the mean of its divisors is an integer number (7229177726680).

Almost surely, 2^{171185112686340} is an apocalyptic number.

171185112686340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

171185112686340 is an abundant number, since it is smaller than the sum of its proper divisors (349315683634620).

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

171185112686340 is a wasteful number, since it uses less digits than its factorization.

171185112686340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269757961 (or 2269757956 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 171185112686340 in words is "one hundred seventy-one trillion, one hundred eighty-five billion, one hundred twelve million, six hundred eighty-six thousand, three hundred forty".