181066701312 has 240 divisors, whose sum is σ = 597865162752. Its totient is φ = 51677798400.

The previous prime is 181066701301. The next prime is 181066701331. The reversal of 181066701312 is 213107660181.

181066701312 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37124218 + ... + 37129094.

Almost surely, 2^181066701312 is an apocalyptic number.

181066701312 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 181066701312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298932581376).

181066701312 is an abundant number, since it is smaller than the sum of its proper divisors (416798461440).

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

181066701312 is a wasteful number, since it uses less digits than its factorization.

181066701312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 181066701312 in words is "one hundred eighty-one billion, sixty-six million, seven hundred one thousand, three hundred twelve".