168144755904 has 336 divisors, whose sum is σ = 518522833920. Its totient is φ = 53967928320.

The previous prime is 168144755897. The next prime is 168144755959. The reversal of 168144755904 is 409557441861.

168144755904 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 4 + 47 + 5 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110402887 + ... + 110404409.

It is an arithmetic number, because the mean of its divisors is an integer number (1543222720).

Almost surely, 2^168144755904 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 168144755904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259261416960).

168144755904 is an abundant number, since it is smaller than the sum of its proper divisors (350378078016).

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

168144755904 is a wasteful number, since it uses less digits than its factorization.

168144755904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 168144755904 in words is "one hundred sixty-eight billion, one hundred forty-four million, seven hundred fifty-five thousand, nine hundred four".