48886978816 has 81 divisors (see below), whose sum is σ = 105766288929. Its totient is φ = 22541995008.

The previous prime is 48886978783. The next prime is 48886978823. The reversal of 48886978816 is 61887968884.

The square root of 48886978816 is 221104.

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

It can be written as a sum of positive squares in only one way, i.e., 7231801600 + 41655177216 = 85040^2 + 204096^2 .

It is a super-4 number, since 4×48886978816⁴ (a number of 44 digits) contains 4444 as substring.

It is a Duffinian number.

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, 45989101 + ... + 45990163.

Almost surely, 2^48886978816 is an apocalyptic number.

48886978816 is the 221104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48886978816

48886978816 is an abundant number, since it is smaller than the sum of its proper divisors (56879310113).

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

48886978816 is an frugal number, since it uses more digits than its factorization.

48886978816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 1078 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 73.

The spelling of 48886978816 in words is "forty-eight billion, eight hundred eighty-six million, nine hundred seventy-eight thousand, eight hundred sixteen".