171008848920 has 384 divisors, whose sum is σ = 641226378240. Its totient is φ = 35720755200.

The previous prime is 171008848903. The next prime is 171008848937. The reversal of 171008848920 is 29848800171.

It is an interprime number because it is at equal distance from previous prime (171008848903) and next prime (171008848937).

It is a self number, because there is not a number n which added to its sum of digits gives 171008848920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14331997 + ... + 14343923.

It is an arithmetic number, because the mean of its divisors is an integer number (1669860360).

Almost surely, 2^171008848920 is an apocalyptic number.

171008848920 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 171008848920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320613189120).

171008848920 is an abundant number, since it is smaller than the sum of its proper divisors (470217529320).

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

171008848920 is a wasteful number, since it uses less digits than its factorization.

171008848920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12075 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 171008848920 in words is "one hundred seventy-one billion, eight million, eight hundred forty-eight thousand, nine hundred twenty".