168238946304 has 1152 divisors, whose sum is σ = 618173337600. Its totient is φ = 43352064000.

The previous prime is 168238946299. The next prime is 168238946339. The reversal of 168238946304 is 403649832861.

168238946304 is a `hidden beast` number, since 1 + 68 + 238 + 9 + 46 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×168238946304³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2369562589 + ... + 2369562659.

It is an arithmetic number, because the mean of its divisors is an integer number (536608800).

Almost surely, 2^168238946304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168238946304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309086668800).

168238946304 is an abundant number, since it is smaller than the sum of its proper divisors (449934391296).

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

168238946304 is a wasteful number, since it uses less digits than its factorization.

168238946304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 168238946304 in words is "one hundred sixty-eight billion, two hundred thirty-eight million, nine hundred forty-six thousand, three hundred four".