48480766016 has 224 divisors, whose sum is σ = 108683877120. Its totient is φ = 21349785600.

The previous prime is 48480766013. The next prime is 48480766027. The reversal of 48480766016 is 61066708484.

It is not an unprimeable number, because it can be changed into a prime (48480766013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267849446 + ... + 267849626.

It is an arithmetic number, because the mean of its divisors is an integer number (485195880).

Almost surely, 2^48480766016 is an apocalyptic number.

48480766016 is a gapful number since it is divisible by the number (46) 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 48480766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54341938560).

48480766016 is an abundant number, since it is smaller than the sum of its proper divisors (60203111104).

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

48480766016 is a wasteful number, since it uses less digits than its factorization.

48480766016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 48480766016 in words is "forty-eight billion, four hundred eighty million, seven hundred sixty-six thousand, sixteen".