48720849984 has 189 divisors, whose sum is σ = 148622130111. Its totient is φ = 15256719360.

The previous prime is 48720849971. The next prime is 48720850007. The reversal of 48720849984 is 48994802784.

The square root of 48720849984 is 220728.

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

48720849984 is a `hidden beast` number, since 48 + 7 + 20 + 8 + 499 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1774094400 + 46946755584 = 42120^2 + 216672^2 .

It is an unprimeable number.

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, 90056754 + ... + 90057294.

Almost surely, 2^48720849984 is an apocalyptic number.

48720849984 is the 220728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48720849984

48720849984 is an abundant number, since it is smaller than the sum of its proper divisors (99901280127).

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

48720849984 is an equidigital number, since it uses as much as digits as its factorization.

48720849984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

It can be divided in two parts, 48720 and 849984, that added together give a square (898704 = 948²).

The spelling of 48720849984 in words is "forty-eight billion, seven hundred twenty million, eight hundred forty-nine thousand, nine hundred eighty-four".