168218228929800 has 288 divisors, whose sum is σ = 606869281317600. Its totient is φ = 38433797176320.

The previous prime is 168218228929789. The next prime is 168218228929813. The reversal of 168218228929800 is 8929822812861.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69158691 + ... + 71549709.

It is an arithmetic number, because the mean of its divisors is an integer number (2107185004575).

Almost surely, 2^{168218228929800} is an apocalyptic number.

168218228929800 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 168218228929800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303434640658800).

168218228929800 is an abundant number, since it is smaller than the sum of its proper divisors (438651052387800).

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

168218228929800 is a wasteful number, since it uses less digits than its factorization.

168218228929800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393445 (or 2393429 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 66.

The spelling of 168218228929800 in words is "one hundred sixty-eight trillion, two hundred eighteen billion, two hundred twenty-eight million, nine hundred twenty-nine thousand, eight hundred".