948336975768 has 384 divisors, whose sum is σ = 3013705094400. Its totient is φ = 246452419584.

The previous prime is 948336975767. The next prime is 948336975797. The reversal of 948336975768 is 867579633849.

It is a self number, because there is not a number n which added to its sum of digits gives 948336975768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948336975767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 663636078 + ... + 663637506.

It is an arithmetic number, because the mean of its divisors is an integer number (7848190350).

Almost surely, 2^948336975768 is an apocalyptic number.

948336975768 is a gapful number since it is divisible by the number (98) 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 948336975768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506852547200).

948336975768 is an abundant number, since it is smaller than the sum of its proper divisors (2065368118632).

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

948336975768 is a wasteful number, since it uses less digits than its factorization.

948336975768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2060 counting only the distinct ones).

The product of its digits is 1646023680, while the sum is 75.

The spelling of 948336975768 in words is "nine hundred forty-eight billion, three hundred thirty-six million, nine hundred seventy-five thousand, seven hundred sixty-eight".