168141864960 has 480 divisors, whose sum is σ = 629440963200. Its totient is φ = 42467328000.

The previous prime is 168141864959. The next prime is 168141864991. The reversal of 168141864960 is 69468141861.

168141864960 is a `hidden beast` number, since 1 + 6 + 8 + 141 + 8 + 6 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 168141864897 and 168141864906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42022960 + ... + 42026960.

It is an arithmetic number, because the mean of its divisors is an integer number (1311335340).

Almost surely, 2^168141864960 is an apocalyptic number.

168141864960 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 168141864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314720481600).

168141864960 is an abundant number, since it is smaller than the sum of its proper divisors (461299098240).

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

168141864960 is an equidigital number, since it uses as much as digits as its factorization.

168141864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 168141864960 in words is "one hundred sixty-eight billion, one hundred forty-one million, eight hundred sixty-four thousand, nine hundred sixty".