48182006016 has 243 divisors, whose sum is σ = 148123734031. Its totient is φ = 15059730432.

The previous prime is 48182005997. The next prime is 48182006057. The reversal of 48182006016 is 61060028184.

The square root of 48182006016 is 219504.

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

48182006016 is a `hidden beast` number, since 48 + 1 + 8 + 2 + 0 + 0 + 601 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2516025600 + 45665980416 = 50160^2 + 213696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

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, 179115130 + ... + 179115398.

Almost surely, 2^48182006016 is an apocalyptic number.

48182006016 is the 219504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48182006016

48182006016 is an abundant number, since it is smaller than the sum of its proper divisors (99941728015).

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

48182006016 is an equidigital number, since it uses as much as digits as its factorization.

48182006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 48182006016 by its sum of digits (36), we get a square (1734552216576 = 1317024²).

48182006016 divided by its sum of digits (36) gives a square (1338389056 = 36584²).

The spelling of 48182006016 in words is "forty-eight billion, one hundred eighty-two million, six thousand, sixteen".