173913162855168 has 576 divisors, whose sum is σ = 538043794444800. Its totient is φ = 49285882183680.

The previous prime is 173913162855167. The next prime is 173913162855169. The reversal of 173913162855168 is 861558261319371.

It is an interprime number because it is at equal distance from previous prime (173913162855167) and next prime (173913162855169).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 173913162855099 and 173913162855108.

It is not an unprimeable number, because it can be changed into a prime (173913162855167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66658934248 + ... + 66658936856.

It is an arithmetic number, because the mean of its divisors is an integer number (934103809800).

Almost surely, 2^{173913162855168} 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 173913162855168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269021897222400).

173913162855168 is an abundant number, since it is smaller than the sum of its proper divisors (364130631589632).

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

173913162855168 is a wasteful number, since it uses less digits than its factorization.

173913162855168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428 (or 5414 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 66.

The spelling of 173913162855168 in words is "one hundred seventy-three trillion, nine hundred thirteen billion, one hundred sixty-two million, eight hundred fifty-five thousand, one hundred sixty-eight".