48832000416 has 192 divisors, whose sum is σ = 145210060800. Its totient is φ = 15960672000.

The previous prime is 48832000411. The next prime is 48832000423. The reversal of 48832000416 is 61400023884.

48832000416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48832000411) 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, 25028241 + ... + 25030191.

It is an arithmetic number, because the mean of its divisors is an integer number (756302400).

Almost surely, 2^48832000416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48832000416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72605030400).

48832000416 is an abundant number, since it is smaller than the sum of its proper divisors (96378060384).

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

48832000416 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (48832000415) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2520).

48832000416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 48832000416 in words is "forty-eight billion, eight hundred thirty-two million, four hundred sixteen", and thus it is an aban number.