171409086144 has 112 divisors (see below), whose sum is σ = 505435047040. Its totient is φ = 56963554560.

The previous prime is 171409086091. The next prime is 171409086193. The reversal of 171409086144 is 441680904171.

171409086144 is a `hidden beast` number, since 17 + 14 + 0 + 9 + 0 + 8 + 614 + 4 = 666.

171409086144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 171409086144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422127 + ... + 721809.

It is an arithmetic number, because the mean of its divisors is an integer number (4512812920).

Almost surely, 2^171409086144 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 171409086144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252717523520).

171409086144 is an abundant number, since it is smaller than the sum of its proper divisors (334025960896).

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

171409086144 is a wasteful number, since it uses less digits than its factorization.

171409086144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300035 (or 300019 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 171409086144 in words is "one hundred seventy-one billion, four hundred nine million, eighty-six thousand, one hundred forty-four".