48484516864 has 99 divisors (see below), whose sum is σ = 112860446367. Its totient is φ = 20757940224.

The previous prime is 48484516841. The next prime is 48484516891. The reversal of 48484516864 is 46861548484.

The square root of 48484516864 is 220192.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 48484516799 and 48484516808.

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 8 ways as a sum of consecutive naturals, for example, 49322517 + ... + 49323499.

Almost surely, 2^48484516864 is an apocalyptic number.

48484516864 is the 220192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48484516864

48484516864 is an abundant number, since it is smaller than the sum of its proper divisors (64375929503).

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

48484516864 is an frugal number, since it uses more digits than its factorization.

48484516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 992 counting only the distinct ones).

The product of its digits is 23592960, while the sum is 58.

The spelling of 48484516864 in words is "forty-eight billion, four hundred eighty-four million, five hundred sixteen thousand, eight hundred sixty-four".