167681204993 has 8 divisors (see below), whose sum is σ = 176306978280. Its totient is φ = 159245009280.

The previous prime is 167681204953. The next prime is 167681205007. The reversal of 167681204993 is 399402186761.

It can be written as a sum of positive squares in 4 ways, for example, as 802418929 + 166878786064 = 28327^2 + 408508^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 167681204993 - 2²⁰ = 167680156417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (167681204903) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 47392580 + ... + 47396117.

It is an arithmetic number, because the mean of its divisors is an integer number (22038372285).

Almost surely, 2^167681204993 is an apocalyptic number.

It is an amenable number.

167681204993 is a deficient number, since it is larger than the sum of its proper divisors (8625773287).

167681204993 is an equidigital number, since it uses as much as digits as its factorization.

167681204993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94788787.

The product of its (nonzero) digits is 3919104, while the sum is 56.

The spelling of 167681204993 in words is "one hundred sixty-seven billion, six hundred eighty-one million, two hundred four thousand, nine hundred ninety-three".