948105048 has 64 divisors (see below), whose sum is σ = 2600812800. Its totient is φ = 285630080.

The previous prime is 948105031. The next prime is 948105049. The reversal of 948105048 is 840501849.

948105048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 948104997 and 948105015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948105049) 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, 35293 + ... + 56051.

It is an arithmetic number, because the mean of its divisors is an integer number (40637700).

Almost surely, 2^948105048 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 948105048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300406400).

948105048 is an abundant number, since it is smaller than the sum of its proper divisors (1652707752).

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

948105048 is a wasteful number, since it uses less digits than its factorization.

948105048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20952 (or 20948 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 948105048 is about 30791.3144896414. The cubic root of 948105048 is about 982.3935135709.

The spelling of 948105048 in words is "nine hundred forty-eight million, one hundred five thousand, forty-eight".