168282316800 has 672 divisors, whose sum is σ = 666085596960. Its totient is φ = 41405644800.

The previous prime is 168282316789. The next prime is 168282316837. The reversal of 168282316800 is 8613282861.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 71883630 + ... + 71885970.

It is an arithmetic number, because the mean of its divisors is an integer number (991198805).

Almost surely, 2^168282316800 is an apocalyptic number.

168282316800 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 168282316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333042798480).

168282316800 is an abundant number, since it is smaller than the sum of its proper divisors (497803280160).

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

168282316800 is a wasteful number, since it uses less digits than its factorization.

168282316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 168282316800 in words is "one hundred sixty-eight billion, two hundred eighty-two million, three hundred sixteen thousand, eight hundred".