168329138400 has 432 divisors, whose sum is σ = 606212543664. Its totient is φ = 43940413440.

The previous prime is 168329138377. The next prime is 168329138429. The reversal of 168329138400 is 4831923861.

168329138400 is a `hidden beast` number, since 16 + 83 + 29 + 138 + 400 = 666.

168329138400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×168329138400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83454192 + ... + 83456208.

It is an arithmetic number, because the mean of its divisors is an integer number (1403269777).

Almost surely, 2^168329138400 is an apocalyptic number.

168329138400 is a gapful number since it is divisible by the number (10) 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 168329138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303106271832).

168329138400 is an abundant number, since it is smaller than the sum of its proper divisors (437883405264).

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

168329138400 is a wasteful number, since it uses less digits than its factorization.

168329138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 168329138400 in words is "one hundred sixty-eight billion, three hundred twenty-nine million, one hundred thirty-eight thousand, four hundred".