48683133928900 has 27 divisors (see below), whose sum is σ = 105642552033991. Its totient is φ = 19473225662240.

The previous prime is 48683133928853. The next prime is 48683133928943. The reversal of 48683133928900 is 982933138684.

The square root of 48683133928900 is 6977330.

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

48683133928900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10982158556356 + 37700975372544 = 3313934^2 + 6140112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69424434 + ... + 70122166.

Almost surely, 2^{48683133928900} is an apocalyptic number.

48683133928900 is the 6977330-th square number.

It is an amenable number.

48683133928900 is an abundant number, since it is smaller than the sum of its proper divisors (56959418105091).

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

48683133928900 is an frugal number, since it uses more digits than its factorization.

48683133928900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395480 (or 697740 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 64.

The spelling of 48683133928900 in words is "forty-eight trillion, six hundred eighty-three billion, one hundred thirty-three million, nine hundred twenty-eight thousand, nine hundred".