8332167168 has 384 divisors, whose sum is σ = 27133142400. Its totient is φ = 2510880768.

The previous prime is 8332167127. The next prime is 8332167199. The reversal of 8332167168 is 8617612338.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48162730 + ... + 48162902.

It is an arithmetic number, because the mean of its divisors is an integer number (70659225).

Almost surely, 2^8332167168 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 8332167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13566571200).

8332167168 is an abundant number, since it is smaller than the sum of its proper divisors (18800975232).

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

8332167168 is a wasteful number, since it uses less digits than its factorization.

8332167168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 8332167168 is about 91280.7053434624. The cubic root of 8332167168 is about 2027.3060894045.

The spelling of 8332167168 in words is "eight billion, three hundred thirty-two million, one hundred sixty-seven thousand, one hundred sixty-eight".