948098968080 has 320 divisors, whose sum is σ = 3321586262016. Its totient is φ = 221630976000.

The previous prime is 948098968007. The next prime is 948098968087. The reversal of 948098968080 is 80869890849.

It is a junction number, because it is equal to n+sod(n) for n = 948098967996 and 948098968014.

It is not an unprimeable number, because it can be changed into a prime (948098968087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22976427 + ... + 23017653.

Almost surely, 2^948098968080 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 948098968080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660793131008).

948098968080 is an abundant number, since it is smaller than the sum of its proper divisors (2373487293936).

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

948098968080 is a wasteful number, since it uses less digits than its factorization.

948098968080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41566 (or 41560 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 69.

The spelling of 948098968080 in words is "nine hundred forty-eight billion, ninety-eight million, nine hundred sixty-eight thousand, eighty".