168236404000 has 288 divisors, whose sum is σ = 481891803120. Its totient is φ = 57555456000.

The previous prime is 168236403941. The next prime is 168236404033. The reversal of 168236404000 is 404632861.

168236404000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 35393649424 + 132842754576 = 188132^2 + 364476^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158563470 + ... + 158564530.

Almost surely, 2^168236404000 is an apocalyptic number.

168236404000 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 168236404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240945901560).

168236404000 is an abundant number, since it is smaller than the sum of its proper divisors (313655399120).

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

168236404000 is a wasteful number, since it uses less digits than its factorization.

168236404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 168236404000 in words is "one hundred sixty-eight billion, two hundred thirty-six million, four hundred four thousand".