181313496172900 has 243 divisors, whose sum is σ = 495635468926689. Its totient is φ = 57378854856960.

The previous prime is 181313496172877. The next prime is 181313496172927. The reversal of 181313496172900 is 9271694313181.

The square root of 181313496172900 is 13465270.

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

It can be written as a sum of positive squares in 13 ways, for example, as 178785726882084 + 2527769290816 = 13371078^2 + 1589896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12253388302 + ... + 12253403098.

Almost surely, 2^{181313496172900} is an apocalyptic number.

181313496172900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

181313496172900 is the 13465270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181313496172900

181313496172900 is an abundant number, since it is smaller than the sum of its proper divisors (314321972753789).

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

181313496172900 is an equidigital number, since it uses as much as digits as its factorization.

181313496172900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29648 (or 14824 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 55.

The spelling of 181313496172900 in words is "one hundred eighty-one trillion, three hundred thirteen billion, four hundred ninety-six million, one hundred seventy-two thousand, nine hundred".