173573952105664 has 896 divisors, whose sum is σ = 422178005975040. Its totient is φ = 69926976000000.

The previous prime is 173573952105643. The next prime is 173573952105707. The reversal of 173573952105664 is 466501259375371.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 173573952105596 and 173573952105605.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 613335519667 + ... + 613335519949.

It is an arithmetic number, because the mean of its divisors is an integer number (471180810240).

Almost surely, 2^{173573952105664} 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 173573952105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211089002987520).

173573952105664 is an abundant number, since it is smaller than the sum of its proper divisors (248604053869376).

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

173573952105664 is a wasteful number, since it uses less digits than its factorization.

173573952105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 64.

The spelling of 173573952105664 in words is "one hundred seventy-three trillion, five hundred seventy-three billion, nine hundred fifty-two million, one hundred five thousand, six hundred sixty-four".