48829508676 has 81 divisors (see below), whose sum is σ = 133702324119. Its totient is φ = 15019160832.

The previous prime is 48829508659. The next prime is 48829508677. The reversal of 48829508676 is 67680592884.

The square root of 48829508676 is 220974.

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

48829508676 is a `hidden beast` number, since 48 + 8 + 29 + 508 + 67 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11177987076 + 37651521600 = 105726^2 + 194040^2 .

It is not an unprimeable number, because it can be changed into a prime (48829508677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17234556 + ... + 17237388.

Almost surely, 2^48829508676 is an apocalyptic number.

48829508676 is the 220974-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48829508676

48829508676 is an abundant number, since it is smaller than the sum of its proper divisors (84872815443).

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

48829508676 is a wasteful number, since it uses less digits than its factorization.

48829508676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 48829508676 in words is "forty-eight billion, eight hundred twenty-nine million, five hundred eight thousand, six hundred seventy-six".