168197212118016 has 264 divisors, whose sum is σ = 512991369972224. Its totient is φ = 52995366789120.

The previous prime is 168197212118009. The next prime is 168197212118041. The reversal of 168197212118016 is 610811212791861.

168197212118016 is a `hidden beast` number, since 1 + 68 + 197 + 212 + 1 + 180 + 1 + 6 = 666.

It is a congruent number.

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, 5439255 + ... + 19130601.

Almost surely, 2^{168197212118016} is an apocalyptic number.

168197212118016 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 168197212118016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256495684986112).

168197212118016 is an abundant number, since it is smaller than the sum of its proper divisors (344794157854208).

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

168197212118016 is a wasteful number, since it uses less digits than its factorization.

168197212118016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13691447 (or 13691426 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 54.

The spelling of 168197212118016 in words is "one hundred sixty-eight trillion, one hundred ninety-seven billion, two hundred twelve million, one hundred eighteen thousand, sixteen".