168204201984 has 1404 divisors, whose sum is σ = 666434503800. Its totient is φ = 40577531904.

The previous prime is 168204201953. The next prime is 168204202007. The reversal of 168204201984 is 489102402861.

168204201984 is a `hidden beast` number, since 16 + 8 + 20 + 420 + 198 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5800144882 + ... + 5800144910.

It is an arithmetic number, because the mean of its divisors is an integer number (474668450).

Almost surely, 2^168204201984 is an apocalyptic number.

168204201984 is a gapful number since it is divisible by the number (14) 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 168204201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333217251900).

168204201984 is an abundant number, since it is smaller than the sum of its proper divisors (498230301816).

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

168204201984 is a wasteful number, since it uses less digits than its factorization.

168204201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 73 counting only the distinct ones).

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

The spelling of 168204201984 in words is "one hundred sixty-eight billion, two hundred four million, two hundred one thousand, nine hundred eighty-four".