168401140224 has 160 divisors (see below), whose sum is σ = 455255951040. Its totient is φ = 55310548992.

The previous prime is 168401140223. The next prime is 168401140273. The reversal of 168401140224 is 422041104861.

168401140224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (168401140223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31717282 + ... + 31722590.

It is an arithmetic number, because the mean of its divisors is an integer number (2845349694).

Almost surely, 2^168401140224 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 168401140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227627975520).

168401140224 is an abundant number, since it is smaller than the sum of its proper divisors (286854810816).

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

168401140224 is a wasteful number, since it uses less digits than its factorization.

168401140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5630 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 168401140224 in words is "one hundred sixty-eight billion, four hundred one million, one hundred forty thousand, two hundred twenty-four".