948314179763904 has 448 divisors, whose sum is σ = 2752505730293760. Its totient is φ = 287297100840960.

The previous prime is 948314179763879. The next prime is 948314179763921. The reversal of 948314179763904 is 409367971413849.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25590670944 + ... + 25590708000.

It is an arithmetic number, because the mean of its divisors is an integer number (6143986005120).

Almost surely, 2^{948314179763904} 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 948314179763904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376252865146880).

948314179763904 is an abundant number, since it is smaller than the sum of its proper divisors (1804191550529856).

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

948314179763904 is a wasteful number, since it uses less digits than its factorization.

948314179763904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41176 (or 41166 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 75.

The spelling of 948314179763904 in words is "nine hundred forty-eight trillion, three hundred fourteen billion, one hundred seventy-nine million, seven hundred sixty-three thousand, nine hundred four".