48795042816 has 495 divisors, whose sum is σ = 160501919061. Its totient is φ = 14759387136.

The previous prime is 48795042781. The next prime is 48795042859. The reversal of 48795042816 is 61824059784.

It is a happy number.

The square root of 48795042816 is 220896.

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

48795042816 is a `hidden beast` number, since 48 + 79 + 504 + 28 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7218201600 + 41576841216 = 84960^2 + 203904^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 827034595 + ... + 827034653.

Almost surely, 2^48795042816 is an apocalyptic number.

48795042816 is the 220896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48795042816

48795042816 is an abundant number, since it is smaller than the sum of its proper divisors (111706876245).

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

48795042816 is an equidigital number, since it uses as much as digits as its factorization.

48795042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 48795042816 in words is "forty-eight billion, seven hundred ninety-five million, forty-two thousand, eight hundred sixteen".