173326368768 has 192 divisors, whose sum is σ = 537672208320. Its totient is φ = 49520443392.

The previous prime is 173326368763. The next prime is 173326368799. The reversal of 173326368768 is 867863623371.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×173326368768² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (173326368763) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4798905 + ... + 4834887.

It is an arithmetic number, because the mean of its divisors is an integer number (2800376085).

Almost surely, 2^173326368768 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 173326368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268836104160).

173326368768 is an abundant number, since it is smaller than the sum of its proper divisors (364345839552).

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

173326368768 is an frugal number, since it uses more digits than its factorization.

173326368768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36030 (or 35995 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 60.

The spelling of 173326368768 in words is "one hundred seventy-three billion, three hundred twenty-six million, three hundred sixty-eight thousand, seven hundred sixty-eight".