208906360503808 has 160 divisors (see below), whose sum is σ = 479353321066752. Its totient is φ = 90025050931200.

The previous prime is 208906360503803. The next prime is 208906360503823. The reversal of 208906360503808 is 808305063609802.

It is a happy number.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208906360503803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7501603 + ... + 21773533.

Almost surely, 2^{208906360503808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208906360503808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239676660533376).

208906360503808 is an abundant number, since it is smaller than the sum of its proper divisors (270446960562944).

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

208906360503808 is a wasteful number, since it uses less digits than its factorization.

208906360503808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14272096 (or 14272080 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 208906360503808 in words is "two hundred eight trillion, nine hundred six billion, three hundred sixty million, five hundred three thousand, eight hundred eight".