168420824445024 has 288 divisors, whose sum is σ = 512177357974464. Its totient is φ = 52367411036160.

The previous prime is 168420824445007. The next prime is 168420824445091. The reversal of 168420824445024 is 420544428024861.

168420824445024 is a `hidden beast` number, since 1 + 6 + 84 + 20 + 82 + 4 + 445 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645424722 + ... + 645685614.

It is an arithmetic number, because the mean of its divisors is an integer number (1778393604078).

Almost surely, 2^{168420824445024} 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 168420824445024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256088678987232).

168420824445024 is an abundant number, since it is smaller than the sum of its proper divisors (343756533529440).

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

168420824445024 is a wasteful number, since it uses less digits than its factorization.

168420824445024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263350 (or 263339 counting only the distinct ones).

The product of its (nonzero) digits is 15728640, while the sum is 54.

The spelling of 168420824445024 in words is "one hundred sixty-eight trillion, four hundred twenty billion, eight hundred twenty-four million, four hundred forty-five thousand, twenty-four".