171434594421216 has 768 divisors, whose sum is σ = 598213397053440. Its totient is φ = 47318057971200.

The previous prime is 171434594421197. The next prime is 171434594421221. The reversal of 171434594421216 is 612124495434171.

171434594421216 is a `hidden beast` number, since 1 + 7 + 1 + 4 + 3 + 4 + 594 + 4 + 21 + 21 + 6 = 666.

171434594421216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8914482321 + ... + 8914501551.

It is an arithmetic number, because the mean of its divisors is an integer number (778923694080).

Almost surely, 2^{171434594421216} is an apocalyptic number.

171434594421216 is a gapful number since it is divisible by the number (16) 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 171434594421216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299106698526720).

171434594421216 is an abundant number, since it is smaller than the sum of its proper divisors (426778802632224).

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

171434594421216 is an equidigital number, since it uses as much as digits as its factorization.

171434594421216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19887 (or 19861 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 171434594421216 in words is "one hundred seventy-one trillion, four hundred thirty-four billion, five hundred ninety-four million, four hundred twenty-one thousand, two hundred sixteen".