208248011000 has 128 divisors (see below), whose sum is σ = 527966112960. Its totient is φ = 76575744000.

The previous prime is 208248010979. The next prime is 208248011011. The reversal of 208248011000 is 110842802.

208248011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×208248011000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588560 + ... + 873440.

Almost surely, 2^208248011000 is an apocalyptic number.

208248011000 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 208248011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263983056480).

208248011000 is an abundant number, since it is smaller than the sum of its proper divisors (319718101960).

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

208248011000 is a wasteful number, since it uses less digits than its factorization.

208248011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284962 (or 284948 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 208248011000 its reverse (110842802), we get a palindrome (208358853802).

The spelling of 208248011000 in words is "two hundred eight billion, two hundred forty-eight million, eleven thousand".