181361849956 has 81 divisors (see below), whose sum is σ = 389898787257. Its totient is φ = 73589644800.

The previous prime is 181361849927. The next prime is 181361850031. The reversal of 181361849956 is 659948163181.

The square root of 181361849956 is 425866.

It is a perfect power (a square), and thus also a powerful number.

181361849956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 180909011556 + 452838400 = 425334^2 + 21280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 181361849894 and 181361849903.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113279556 + ... + 113281156.

Almost surely, 2^181361849956 is an apocalyptic number.

181361849956 is the 425866-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181361849956

181361849956 is an abundant number, since it is smaller than the sum of its proper divisors (208536937301).

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

181361849956 is an equidigital number, since it uses as much as digits as its factorization.

181361849956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 1629 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 61.

The spelling of 181361849956 in words is "one hundred eighty-one billion, three hundred sixty-one million, eight hundred forty-nine thousand, nine hundred fifty-six".