208138416478720 has 1920 divisors, whose sum is σ = 696273420648960. Its totient is φ = 58859716608000.

The previous prime is 208138416478693. The next prime is 208138416478723. The reversal of 208138416478720 is 27874614831802.

It is not an unprimeable number, because it can be changed into a prime (208138416478723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52021596720 + ... + 52021600720.

It is an arithmetic number, because the mean of its divisors is an integer number (362642406588).

Almost surely, 2^{208138416478720} is an apocalyptic number.

208138416478720 is a gapful number since it is divisible by the number (20) 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 208138416478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348136710324480).

208138416478720 is an abundant number, since it is smaller than the sum of its proper divisors (488135004170240).

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

208138416478720 is a wasteful number, since it uses less digits than its factorization.

208138416478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 61.

The spelling of 208138416478720 in words is "two hundred eight trillion, one hundred thirty-eight billion, four hundred sixteen million, four hundred seventy-eight thousand, seven hundred twenty".