948282873216 has 256 divisors, whose sum is σ = 2932106688000. Its totient is φ = 265957097472.

The previous prime is 948282873149. The next prime is 948282873217. The reversal of 948282873216 is 612378282849.

It is a self number, because there is not a number n which added to its sum of digits gives 948282873216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948282873217) 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, 33238990 + ... + 33267506.

It is an arithmetic number, because the mean of its divisors is an integer number (11453541750).

Almost surely, 2^948282873216 is an apocalyptic number.

948282873216 is a gapful number since it is divisible by the number (96) 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 948282873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466053344000).

948282873216 is an abundant number, since it is smaller than the sum of its proper divisors (1983823814784).

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

948282873216 is a wasteful number, since it uses less digits than its factorization.

948282873216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28769 (or 28757 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The spelling of 948282873216 in words is "nine hundred forty-eight billion, two hundred eighty-two million, eight hundred seventy-three thousand, two hundred sixteen".