168988199292864 has 1344 divisors, whose sum is σ = 610443920486400. Its totient is φ = 45277072588800.

The previous prime is 168988199292863. The next prime is 168988199292893. The reversal of 168988199292864 is 468292991889861.

168988199292864 is a `hidden beast` number, since 1 + 6 + 89 + 8 + 81 + 99 + 292 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168988199292863) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 208370159019 + ... + 208370159829.

It is an arithmetic number, because the mean of its divisors is an integer number (454199345600).

Almost surely, 2^{168988199292864} is an apocalyptic number.

168988199292864 is a gapful number since it is divisible by the number (14) 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 168988199292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305221960243200).

168988199292864 is an abundant number, since it is smaller than the sum of its proper divisors (441455721193536).

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

168988199292864 is a wasteful number, since it uses less digits than its factorization.

168988199292864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1742 counting only the distinct ones).

The product of its digits is 15479341056, while the sum is 90.

The spelling of 168988199292864 in words is "one hundred sixty-eight trillion, nine hundred eighty-eight billion, one hundred ninety-nine million, two hundred ninety-two thousand, eight hundred sixty-four".