8338952160 has 1152 divisors, whose sum is σ = 38224327680. Its totient is φ = 1660538880.

The previous prime is 8338952147. The next prime is 8338952261. The reversal of 8338952160 is 612598338.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 157338694 + ... + 157338746.

It is an arithmetic number, because the mean of its divisors is an integer number (33180840).

Almost surely, 2^8338952160 is an apocalyptic number.

8338952160 is a gapful number since it is divisible by the number (80) 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 8338952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19112163840).

8338952160 is an abundant number, since it is smaller than the sum of its proper divisors (29885375520).

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

8338952160 is a wasteful number, since it uses less digits than its factorization.

8338952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8338952160 is about 91317.8633127166. The cubic root of 8338952160 is about 2027.8562273343.

The spelling of 8338952160 in words is "eight billion, three hundred thirty-eight million, nine hundred fifty-two thousand, one hundred sixty".