171642609216 has 168 divisors, whose sum is σ = 534002187264. Its totient is φ = 52396968960.

The previous prime is 171642609209. The next prime is 171642609221. The reversal of 171642609216 is 612906246171.

171642609216 is a `hidden beast` number, since 1 + 7 + 1 + 6 + 426 + 0 + 9 + 216 = 666.

It is a super-2 number, since 2×171642609216² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 860731 + ... + 1041221.

It is an arithmetic number, because the mean of its divisors is an integer number (3178584448).

Almost surely, 2^171642609216 is an apocalyptic number.

171642609216 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 171642609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267001093632).

171642609216 is an abundant number, since it is smaller than the sum of its proper divisors (362359578048).

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

171642609216 is a wasteful number, since it uses less digits than its factorization.

171642609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180649 (or 180636 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 171642609216 in words is "one hundred seventy-one billion, six hundred forty-two million, six hundred nine thousand, two hundred sixteen".