173144253748001 has 2 divisors, whose sum is σ = 173144253748002. Its totient is φ = 173144253748000.

The previous prime is 173144253747953. The next prime is 173144253748003. The reversal of 173144253748001 is 100847352441371.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149137242654976 + 24007011093025 = 12212176^2 + 4899695^2 .

It is a cyclic number.

It is not a de Polignac number, because 173144253748001 - 2¹⁸ = 173144253485857 is a prime.

It is a super-2 number, since 2×173144253748001² (a number of 29 digits) contains 22 as substring.

Together with 173144253748003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (173144253748003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 86572126874000 + 86572126874001.

It is an arithmetic number, because the mean of its divisors is an integer number (86572126874001).

Almost surely, 2^{173144253748001} is an apocalyptic number.

It is an amenable number.

173144253748001 is a deficient number, since it is larger than the sum of its proper divisors (1).

173144253748001 is an equidigital number, since it uses as much as digits as its factorization.

173144253748001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2257920, while the sum is 50.

The spelling of 173144253748001 in words is "one hundred seventy-three trillion, one hundred forty-four billion, two hundred fifty-three million, seven hundred forty-eight thousand, one".