200439259296864 has 192 divisors, whose sum is σ = 602572749875712. Its totient is φ = 57148955136000.

The previous prime is 200439259296833. The next prime is 200439259296901. The reversal of 200439259296864 is 468692952934002.

200439259296864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665170359 + ... + 665471625.

It is an arithmetic number, because the mean of its divisors is an integer number (3138399738936).

Almost surely, 2^{200439259296864} is an apocalyptic number.

200439259296864 is a gapful number since it is divisible by the number (24) 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 200439259296864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301286374937856).

200439259296864 is an abundant number, since it is smaller than the sum of its proper divisors (402133490578848).

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

200439259296864 is a wasteful number, since it uses less digits than its factorization.

200439259296864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303349 (or 303341 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 69.

The spelling of 200439259296864 in words is "two hundred trillion, four hundred thirty-nine billion, two hundred fifty-nine million, two hundred ninety-six thousand, eight hundred sixty-four".