172165460352 has 64 divisors (see below), whose sum is σ = 458294241600. Its totient is φ = 57265539584.

The previous prime is 172165460309. The next prime is 172165460353. The reversal of 172165460352 is 253064561271.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×172165460352³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172165460353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300702 + ... + 659357.

It is an arithmetic number, because the mean of its divisors is an integer number (7160847525).

Almost surely, 2^172165460352 is an apocalyptic number.

172165460352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

172165460352 is an abundant number, since it is smaller than the sum of its proper divisors (286128781248).

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

172165460352 is an equidigital number, since it uses as much as digits as its factorization.

172165460352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960543 (or 960531 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 172165460352 in words is "one hundred seventy-two billion, one hundred sixty-five million, four hundred sixty thousand, three hundred fifty-two".