172416321791 has 64 divisors (see below), whose sum is σ = 212203929600. Its totient is φ = 136911430656.

The previous prime is 172416321757. The next prime is 172416321797. The reversal of 172416321791 is 197123614271.

It is not a de Polignac number, because 172416321791 - 2¹⁴ = 172416305407 is a prime.

It is a super-2 number, since 2×172416321791² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (127008) is a multiple of the sum of its prime divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172416321797) 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 in 63 ways as a sum of consecutive naturals, for example, 421555595 + ... + 421556003.

It is an arithmetic number, because the mean of its divisors is an integer number (3315686400).

Almost surely, 2^172416321791 is an apocalyptic number.

172416321791 is a deficient number, since it is larger than the sum of its proper divisors (39787607809).

172416321791 is a wasteful number, since it uses less digits than its factorization.

172416321791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008.

The product of its digits is 127008, while the sum is 44.

The spelling of 172416321791 in words is "one hundred seventy-two billion, four hundred sixteen million, three hundred twenty-one thousand, seven hundred ninety-one".