171240468480 has 624 divisors, whose sum is σ = 639838457856. Its totient is φ = 42237296640.

The previous prime is 171240468479. The next prime is 171240468491. The reversal of 171240468480 is 84864042171.

171240468480 is a `hidden beast` number, since 1 + 7 + 124 + 0 + 46 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 131419509 + ... + 131420811.

It is an arithmetic number, because the mean of its divisors is an integer number (1025382144).

Almost surely, 2^171240468480 is an apocalyptic number.

171240468480 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 171240468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319919228928).

171240468480 is an abundant number, since it is smaller than the sum of its proper divisors (468597989376).

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

171240468480 is a wasteful number, since it uses less digits than its factorization.

171240468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 171240468480 in words is "one hundred seventy-one billion, two hundred forty million, four hundred sixty-eight thousand, four hundred eighty".