172824242428271 has 16 divisors (see below), whose sum is σ = 201546182894400. Its totient is φ = 148133685450240.

The previous prime is 172824242428249. The next prime is 172824242428273.

172824242428271 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 172824242428271 - 2⁴² = 168426195917167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172824242428273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35425535 + ... + 40007711.

It is an arithmetic number, because the mean of its divisors is an integer number (12596636430900).

Almost surely, 2^{172824242428271} is an apocalyptic number.

172824242428271 is a deficient number, since it is larger than the sum of its proper divisors (28721940466129).

172824242428271 is an equidigital number, since it uses as much as digits as its factorization.

172824242428271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692159 (or 4692145 counting only the distinct ones).

The product of its digits is 12845056, while the sum is 56.

The spelling of 172824242428271 in words is "one hundred seventy-two trillion, eight hundred twenty-four billion, two hundred forty-two million, four hundred twenty-eight thousand, two hundred seventy-one".