172083013244224 has 14 divisors (see below), whose sum is σ = 341477229406634. Its totient is φ = 86041506622080.

The previous prime is 172083013244221. The next prime is 172083013244227. The reversal of 172083013244224 is 422442310380271.

172083013244224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (172083013244221) and next prime (172083013244227).

It can be written as a sum of positive squares in only one way, i.e., 166791025857600 + 5291987386624 = 12914760^2 + 2300432^2 .

It is a super-3 number, since 3×172083013244224³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172083013244221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1344398540907 + ... + 1344398541034.

Almost surely, 2^{172083013244224} is an apocalyptic number.

It is an amenable number.

172083013244224 is a deficient number, since it is larger than the sum of its proper divisors (169394216162410).

172083013244224 is an equidigital number, since it uses as much as digits as its factorization.

172083013244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688797081953 (or 2688797081943 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 172083013244224 in words is "one hundred seventy-two trillion, eighty-three billion, thirteen million, two hundred forty-four thousand, two hundred twenty-four".