47232328900 has 81 divisors (see below), whose sum is σ = 103991744493. Its totient is φ = 18620834400.

The previous prime is 47232328883. The next prime is 47232328909. The reversal of 47232328900 is 982323274.

The square root of 47232328900 is 217330.

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

It can be written as a sum of positive squares in only one way, i.e., 17003638404 + 30228690496 = 130398^2 + 173864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47232328909) by changing a digit.

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, 223849795 + ... + 223850005.

Almost surely, 2^47232328900 is an apocalyptic number.

47232328900 is the 217330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47232328900

47232328900 is an abundant number, since it is smaller than the sum of its proper divisors (56759415593).

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

47232328900 is a wasteful number, since it uses less digits than its factorization.

47232328900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 47232328900 in words is "forty-seven billion, two hundred thirty-two million, three hundred twenty-eight thousand, nine hundred".