167072266116 has 288 divisors, whose sum is σ = 539396928000. Its totient is φ = 44454505536.

The previous prime is 167072266063. The next prime is 167072266121. The reversal of 167072266116 is 611662270761.

167072266116 is a `hidden beast` number, since 1 + 6 + 7 + 0 + 7 + 2 + 26 + 611 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5918251 + ... + 5946413.

It is an arithmetic number, because the mean of its divisors is an integer number (1872906000).

Almost surely, 2^167072266116 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 167072266116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269698464000).

167072266116 is an abundant number, since it is smaller than the sum of its proper divisors (372324661884).

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

167072266116 is a wasteful number, since it uses less digits than its factorization.

167072266116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28268 (or 28253 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 167072266116 in words is "one hundred sixty-seven billion, seventy-two million, two hundred sixty-six thousand, one hundred sixteen".