181711661112 has 192 divisors, whose sum is σ = 518205367680. Its totient is φ = 57450145536.

The previous prime is 181711661107. The next prime is 181711661119. The reversal of 181711661112 is 211166117181.

181711661112 is a `hidden beast` number, since 1 + 8 + 17 + 1 + 16 + 611 + 12 = 666.

181711661112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181711661119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73655703 + ... + 73658169.

It is an arithmetic number, because the mean of its divisors is an integer number (2698986290).

Almost surely, 2^181711661112 is an apocalyptic number.

181711661112 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 181711661112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259102683840).

181711661112 is an abundant number, since it is smaller than the sum of its proper divisors (336493706568).

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

181711661112 is a wasteful number, since it uses less digits than its factorization.

181711661112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3195 counting only the distinct ones).

The product of its digits is 4032, while the sum is 36.

Adding to 181711661112 its reverse (211166117181), we get a palindrome (392877778293).

The spelling of 181711661112 in words is "one hundred eighty-one billion, seven hundred eleven million, six hundred sixty-one thousand, one hundred twelve".