171048763116 has 864 divisors, whose sum is σ = 615229655040. Its totient is φ = 39423283200.

The previous prime is 171048763069. The next prime is 171048763141. The reversal of 171048763116 is 611367840171.

It is a happy number.

171048763116 is a `hidden beast` number, since 1 + 7 + 1 + 0 + 4 + 8 + 7 + 631 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 439713850 + ... + 439714238.

It is an arithmetic number, because the mean of its divisors is an integer number (712071360).

Almost surely, 2^171048763116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171048763116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307614827520).

171048763116 is an abundant number, since it is smaller than the sum of its proper divisors (444180891924).

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

171048763116 is a wasteful number, since it uses less digits than its factorization.

171048763116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 171048763116 in words is "one hundred seventy-one billion, forty-eight million, seven hundred sixty-three thousand, one hundred sixteen".