171197486460 has 864 divisors, whose sum is σ = 743994066816. Its totient is φ = 30899404800.

The previous prime is 171197486401. The next prime is 171197486461. The reversal of 171197486460 is 64684791171.

171197486460 is a `hidden beast` number, since 1 + 7 + 11 + 97 + 4 + 86 + 460 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 171197486397 and 171197486406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171197486461) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33691120 + ... + 33696200.

It is an arithmetic number, because the mean of its divisors is an integer number (861104244).

Almost surely, 2^171197486460 is an apocalyptic number.

171197486460 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 171197486460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371997033408).

171197486460 is an abundant number, since it is smaller than the sum of its proper divisors (572796580356).

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

171197486460 is a wasteful number, since it uses less digits than its factorization.

171197486460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 171197486460 in words is "one hundred seventy-one billion, one hundred ninety-seven million, four hundred eighty-six thousand, four hundred sixty".