948955168 has 144 divisors (see below), whose sum is σ = 2307576600. Its totient is φ = 382341120.

The previous prime is 948955159. The next prime is 948955201. The reversal of 948955168 is 861559849.

It can be written as a sum of positive squares in 4 ways, for example, as 736145424 + 212809744 = 27132^2 + 14588^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1864098 + ... + 1864606.

Almost surely, 2^948955168 is an apocalyptic number.

948955168 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 948955168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153788300).

948955168 is an abundant number, since it is smaller than the sum of its proper divisors (1358621432).

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

948955168 is a wasteful number, since it uses less digits than its factorization.

948955168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 588 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 55.

The square root of 948955168 is about 30805.1159387528. The cubic root of 948955168 is about 982.6870474595.

The spelling of 948955168 in words is "nine hundred forty-eight million, nine hundred fifty-five thousand, one hundred sixty-eight".