47379358224 has 405 divisors, whose sum is σ = 156436667751. Its totient is φ = 13373521920.

The previous prime is 47379358219. The next prime is 47379358259. The reversal of 47379358224 is 42285397374.

It is a happy number.

The square root of 47379358224 is 217668.

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

47379358224 is a `hidden beast` number, since 4 + 7 + 37 + 9 + 3 + 582 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2773918224 + 44605440000 = 52668^2 + 211200^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 488446944 + ... + 488447040.

Almost surely, 2^47379358224 is an apocalyptic number.

47379358224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

47379358224 is the 217668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47379358224

47379358224 is an abundant number, since it is smaller than the sum of its proper divisors (109057309527).

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

47379358224 is a wasteful number, since it uses less digits than its factorization.

47379358224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 130 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 47379358224 in words is "forty-seven billion, three hundred seventy-nine million, three hundred fifty-eight thousand, two hundred twenty-four".