168059142144 has 408 divisors, whose sum is σ = 514693797072. Its totient is φ = 54782853120.

The previous prime is 168059142143. The next prime is 168059142169. The reversal of 168059142144 is 441241950861.

168059142144 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 591 + 42 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 168059142144.

It is not an unprimeable number, because it can be changed into a prime (168059142143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 971440042 + ... + 971440214.

Almost surely, 2^168059142144 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 168059142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257346898536).

168059142144 is an abundant number, since it is smaller than the sum of its proper divisors (346634654928).

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

168059142144 is an frugal number, since it uses more digits than its factorization.

168059142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 168059142144 in words is "one hundred sixty-eight billion, fifty-nine million, one hundred forty-two thousand, one hundred forty-four".