167166666000 has 600 divisors, whose sum is σ = 623873431896. Its totient is φ = 43113254400.

The previous prime is 167166665987. The next prime is 167166666061. The reversal of 167166666000 is 666661761.

167166666000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36144144 + 167130521856 = 6012^2 + 408816^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1000997917 + ... + 1000998083.

Almost surely, 2^167166666000 is an apocalyptic number.

167166666000 is a gapful number since it is divisible by the number (10) 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 167166666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311936715948).

167166666000 is an abundant number, since it is smaller than the sum of its proper divisors (456706765896).

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

167166666000 is an equidigital number, since it uses as much as digits as its factorization.

167166666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 167166666000 in words is "one hundred sixty-seven billion, one hundred sixty-six million, six hundred sixty-six thousand".