168013098348480 has 8064 divisors, whose sum is σ = 843144755281920. Its totient is φ = 31039303680000.

The previous prime is 168013098348439. The next prime is 168013098348481. The reversal of 168013098348480 is 84843890310861.

168013098348480 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 1 + 30 + 9 + 83 + 48 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168013098348481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2366381666845 + ... + 2366381666915.

It is an arithmetic number, because the mean of its divisors is an integer number (104556641280).

Almost surely, 2^{168013098348480} is an apocalyptic number.

168013098348480 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 168013098348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421572377640960).

168013098348480 is an abundant number, since it is smaller than the sum of its proper divisors (675131656933440).

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

168013098348480 is a wasteful number, since it uses less digits than its factorization.

168013098348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 168013098348480 in words is "one hundred sixty-eight trillion, thirteen billion, ninety-eight million, three hundred forty-eight thousand, four hundred eighty".