948948964080 has 320 divisors, whose sum is σ = 3412329930240. Its totient is φ = 216146423808.

The previous prime is 948948964069. The next prime is 948948964081. The reversal of 948948964080 is 80469849849.

It is a junction number, because it is equal to n+sod(n) for n = 948948963996 and 948948964014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948948964081) 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, 2362902 + ... + 2735178.

It is an arithmetic number, because the mean of its divisors is an integer number (10663531032).

Almost surely, 2^948948964080 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 948948964080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706164965120).

948948964080 is an abundant number, since it is smaller than the sum of its proper divisors (2463380966160).

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

948948964080 is a wasteful number, since it uses less digits than its factorization.

948948964080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372368 (or 372362 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 69.

The spelling of 948948964080 in words is "nine hundred forty-eight billion, nine hundred forty-eight million, nine hundred sixty-four thousand, eighty".