181168346112 has 352 divisors, whose sum is σ = 554222793600. Its totient is φ = 52431814656.

The previous prime is 181168346111. The next prime is 181168346153. The reversal of 181168346112 is 211643861181.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181168346111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114735339 + ... + 114736917.

Almost surely, 2^181168346112 is an apocalyptic number.

181168346112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181168346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277111396800).

181168346112 is an abundant number, since it is smaller than the sum of its proper divisors (373054447488).

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

181168346112 is a wasteful number, since it uses less digits than its factorization.

181168346112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1614 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The spelling of 181168346112 in words is "one hundred eighty-one billion, one hundred sixty-eight million, three hundred forty-six thousand, one hundred twelve".