181824141312 has 384 divisors, whose sum is σ = 618535008000. Its totient is φ = 52195000320.

The previous prime is 181824141307. The next prime is 181824141319. The reversal of 181824141312 is 213141428181.

181824141312 is a `hidden beast` number, since 18 + 182 + 41 + 413 + 12 = 666.

181824141312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×181824141312³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 (181824141319) 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, 11548998 + ... + 11564730.

It is an arithmetic number, because the mean of its divisors is an integer number (1610768250).

Almost surely, 2^181824141312 is an apocalyptic number.

181824141312 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 181824141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309267504000).

181824141312 is an abundant number, since it is smaller than the sum of its proper divisors (436710866688).

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

181824141312 is a wasteful number, since it uses less digits than its factorization.

181824141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15794 (or 15768 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

Adding to 181824141312 its reverse (213141428181), we get a palindrome (394965569493).

The spelling of 181824141312 in words is "one hundred eighty-one billion, eight hundred twenty-four million, one hundred forty-one thousand, three hundred twelve".