182506211984196 has 135 divisors (see below), whose sum is σ = 479513985707757. Its totient is φ = 60530062592160.

The previous prime is 182506211984167. The next prime is 182506211984203. The reversal of 182506211984196 is 691489112605281.

The square root of 182506211984196 is 13509486.

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

182506211984196 is a `hidden beast` number, since 1 + 8 + 2 + 5 + 0 + 6 + 21 + 198 + 419 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22358806820100 + 160147405164096 = 4728510^2 + 12654936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 51309026050 + ... + 51309029606.

Almost surely, 2^{182506211984196} is an apocalyptic number.

182506211984196 is the 13509486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182506211984196

182506211984196 is an abundant number, since it is smaller than the sum of its proper divisors (297007773723561).

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

182506211984196 is an frugal number, since it uses more digits than its factorization.

182506211984196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7552 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 182506211984196 in words is "one hundred eighty-two trillion, five hundred six billion, two hundred eleven million, nine hundred eighty-four thousand, one hundred ninety-six".