48648816 has 80 divisors (see below), whose sum is σ = 147014400. Its totient is φ = 15360192.

The previous prime is 48648773. The next prime is 48648829. The reversal of 48648816 is 61884684.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5245 + ... + 11171.

It is an arithmetic number, because the mean of its divisors is an integer number (1837680).

Almost surely, 2^48648816 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 48648816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73507200).

48648816 is an abundant number, since it is smaller than the sum of its proper divisors (98365584).

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

48648816 is a wasteful number, since it uses less digits than its factorization.

48648816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5963 (or 5951 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 48648816 is about 6974.8703213752. The cubic root of 48648816 is about 365.0542635281.

The spelling of 48648816 in words is "forty-eight million, six hundred forty-eight thousand, eight hundred sixteen".