48771129878688 has 192 divisors, whose sum is σ = 154936253461248. Its totient is φ = 13113554780160.

The previous prime is 48771129878663. The next prime is 48771129878693. The reversal of 48771129878688 is 88687892117784.

48771129878688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 6983633²-1.

It is a Smith number, since the sum of its digits (84) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a self number, because there is not a number n which added to its sum of digits gives 48771129878688.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111519906 + ... + 111956382.

It is an arithmetic number, because the mean of its divisors is an integer number (806959653444).

Almost surely, 2^{48771129878688} is an apocalyptic number.

48771129878688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48771129878688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77468126730624).

48771129878688 is an abundant number, since it is smaller than the sum of its proper divisors (106165123582560).

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

48771129878688 is a wasteful number, since it uses less digits than its factorization.

48771129878688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446295 (or 446287 counting only the distinct ones).

The product of its digits is 4855431168, while the sum is 84.

The spelling of 48771129878688 in words is "forty-eight trillion, seven hundred seventy-one billion, one hundred twenty-nine million, eight hundred seventy-eight thousand, six hundred eighty-eight".