171408485664 has 120 divisors (see below), whose sum is σ = 542885209020. Its totient is φ = 52741062144.

The previous prime is 171408485653. The next prime is 171408485671. The reversal of 171408485664 is 466584804171.

171408485664 is a `hidden beast` number, since 1 + 71 + 4 + 0 + 8 + 4 + 8 + 566 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 171246992400 + 161493264 = 413820^2 + 12708^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 171408485664.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2509759 + ... + 2577150.

Almost surely, 2^171408485664 is an apocalyptic number.

It is an amenable number.

171408485664 is an abundant number, since it is smaller than the sum of its proper divisors (371476723356).

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

171408485664 is a wasteful number, since it uses less digits than its factorization.

171408485664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086944 (or 5086927 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 171408485664 in words is "one hundred seventy-one billion, four hundred eight million, four hundred eighty-five thousand, six hundred sixty-four".