171393386112 has 144 divisors (see below), whose sum is σ = 534059925750. Its totient is φ = 52736366592.

The previous prime is 171393386093. The next prime is 171393386167. The reversal of 171393386112 is 211683393171.

171393386112 is a `hidden beast` number, since 1 + 71 + 3 + 93 + 386 + 112 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 61238431296 + 110154954816 = 247464^2 + 331896^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×171393386112² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 245487 + ... + 634862.

Almost surely, 2^171393386112 is an apocalyptic number.

171393386112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

171393386112 is an abundant number, since it is smaller than the sum of its proper divisors (362666539638).

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

171393386112 is a wasteful number, since it uses less digits than its factorization.

171393386112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880395 (or 880367 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The spelling of 171393386112 in words is "one hundred seventy-one billion, three hundred ninety-three million, three hundred eighty-six thousand, one hundred twelve".