168315504896 has 648 divisors, whose sum is σ = 468753626880. Its totient is φ = 59570380800.

The previous prime is 168315504859. The next prime is 168315504899. The reversal of 168315504896 is 698405513861.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (168315504899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1544178890 + ... + 1544178998.

Almost surely, 2^168315504896 is an apocalyptic number.

168315504896 is a gapful number since it is divisible by the number (16) 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 168315504896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234376813440).

168315504896 is an abundant number, since it is smaller than the sum of its proper divisors (300438121984).

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

168315504896 is a wasteful number, since it uses less digits than its factorization.

168315504896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 56.

The spelling of 168315504896 in words is "one hundred sixty-eight billion, three hundred fifteen million, five hundred four thousand, eight hundred ninety-six".