47318329684224 has 243 divisors, whose sum is σ = 137552401116039. Its totient is φ = 15644114887680.

The previous prime is 47318329684193. The next prime is 47318329684231. The reversal of 47318329684224 is 42248692381374.

The square root of 47318329684224 is 6878832.

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

47318329684224 is a `hidden beast` number, since 4 + 7 + 3 + 1 + 8 + 329 + 6 + 84 + 224 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45895566589 + ... + 45895567619.

Almost surely, 2^{47318329684224} is an apocalyptic number.

47318329684224 is the 6878832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47318329684224

47318329684224 is an abundant number, since it is smaller than the sum of its proper divisors (90234071431815).

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

47318329684224 is an frugal number, since it uses more digits than its factorization.

47318329684224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 1175 counting only the distinct ones).

The product of its digits is 111476736, while the sum is 63.

The spelling of 47318329684224 in words is "forty-seven trillion, three hundred eighteen billion, three hundred twenty-nine million, six hundred eighty-four thousand, two hundred twenty-four".