168414403144 has 64 divisors (see below), whose sum is σ = 346618621440. Its totient is φ = 76233480960.

The previous prime is 168414403139. The next prime is 168414403159. The reversal of 168414403144 is 441304414861.

It is a happy number.

168414403144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×168414403144² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 168414403097 and 168414403106.

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 15 ways as a sum of consecutive naturals, for example, 20759649 + ... + 20767759.

It is an arithmetic number, because the mean of its divisors is an integer number (5415915960).

Almost surely, 2^168414403144 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 168414403144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173309310720).

168414403144 is an abundant number, since it is smaller than the sum of its proper divisors (178204218296).

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

168414403144 is a wasteful number, since it uses less digits than its factorization.

168414403144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11950 (or 11946 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 168414403144 in words is "one hundred sixty-eight billion, four hundred fourteen million, four hundred three thousand, one hundred forty-four".