48214728320 has 128 divisors (see below), whose sum is σ = 132360177600. Its totient is φ = 16609812480.

The previous prime is 48214728283. The next prime is 48214728323. The reversal of 48214728320 is 2382741284.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (48214728323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46469 + ... + 313988.

Almost surely, 2^48214728320 is an apocalyptic number.

48214728320 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 48214728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66180088800).

48214728320 is an abundant number, since it is smaller than the sum of its proper divisors (84145449280).

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

48214728320 is a wasteful number, since it uses less digits than its factorization.

48214728320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360506 (or 360494 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The spelling of 48214728320 in words is "forty-eight billion, two hundred fourteen million, seven hundred twenty-eight thousand, three hundred twenty".