48768314960 has 80 divisors (see below), whose sum is σ = 119248367616. Its totient is φ = 18512169984.

The previous prime is 48768314929. The next prime is 48768314963. The reversal of 48768314960 is 6941386784.

48768314960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 48768314896 and 48768314905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48768314963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129332 + ... + 338028.

Almost surely, 2^48768314960 is an apocalyptic number.

48768314960 is a gapful number since it is divisible by the number (40) 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 48768314960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59624183808).

48768314960 is an abundant number, since it is smaller than the sum of its proper divisors (70480052656).

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

48768314960 is a wasteful number, since it uses less digits than its factorization.

48768314960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208860 (or 208854 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 48768314960 in words is "forty-eight billion, seven hundred sixty-eight million, three hundred fourteen thousand, nine hundred sixty".