172348656480 has 3456 divisors, whose sum is σ = 903484108800. Its totient is φ = 29262643200.

The previous prime is 172348656443. The next prime is 172348656497. The reversal of 172348656480 is 84656843271.

It is a happy number.

172348656480 is a `hidden beast` number, since 1 + 7 + 2 + 34 + 86 + 56 + 480 = 666.

It is a super-3 number, since 3×172348656480³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5559634065 + ... + 5559634095.

It is an arithmetic number, because the mean of its divisors is an integer number (261424800).

Almost surely, 2^172348656480 is an apocalyptic number.

172348656480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172348656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451742054400).

172348656480 is an abundant number, since it is smaller than the sum of its proper divisors (731135452320).

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

172348656480 is a wasteful number, since it uses less digits than its factorization.

172348656480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

It can be divided in two parts, 172348 and 656480, that added together give a palindrome (828828).

The spelling of 172348656480 in words is "one hundred seventy-two billion, three hundred forty-eight million, six hundred fifty-six thousand, four hundred eighty".