173168464896 has 1056 divisors, whose sum is σ = 646532340480. Its totient is φ = 45482508288.

The previous prime is 173168464849. The next prime is 173168464951. The reversal of 173168464896 is 698464861371.

It is a happy number.

173168464896 is a `hidden beast` number, since 1 + 7 + 3 + 168 + 464 + 8 + 9 + 6 = 666.

173168464896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1681247181 + ... + 1681247283.

Almost surely, 2^173168464896 is an apocalyptic number.

173168464896 is a gapful number since it is divisible by the number (16) 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 173168464896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323266170240).

173168464896 is an abundant number, since it is smaller than the sum of its proper divisors (473363875584).

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

173168464896 is a wasteful number, since it uses less digits than its factorization.

173168464896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 205 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 173168464896 in words is "one hundred seventy-three billion, one hundred sixty-eight million, four hundred sixty-four thousand, eight hundred ninety-six".