171408028934016 has 768 divisors, whose sum is σ = 594539124940800. Its totient is φ = 46368887685120.

The previous prime is 171408028934003. The next prime is 171408028934029. The reversal of 171408028934016 is 610439820804171.

171408028934016 is a `hidden beast` number, since 1 + 7 + 1 + 4 + 0 + 8 + 0 + 289 + 340 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (171408028934003) and next prime (171408028934029).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4756427550 + ... + 4756463586.

It is an arithmetic number, because the mean of its divisors is an integer number (774139485600).

Almost surely, 2^{171408028934016} is an apocalyptic number.

171408028934016 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 171408028934016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297269562470400).

171408028934016 is an abundant number, since it is smaller than the sum of its proper divisors (423131096006784).

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

171408028934016 is a wasteful number, since it uses less digits than its factorization.

171408028934016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36507 (or 36492 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 171408028934016 in words is "one hundred seventy-one trillion, four hundred eight billion, twenty-eight million, nine hundred thirty-four thousand, sixteen".