200649362093752 has 256 divisors, whose sum is σ = 465649816504320. Its totient is φ = 79755134976000.

The previous prime is 200649362093681. The next prime is 200649362093753. The reversal of 200649362093752 is 257390263946002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200649362093753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1560789877 + ... + 1560918427.

It is an arithmetic number, because the mean of its divisors is an integer number (1818944595720).

Almost surely, 2^{200649362093752} is an apocalyptic number.

200649362093752 is a gapful number since it is divisible by the number (22) 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 200649362093752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232824908252160).

200649362093752 is an abundant number, since it is smaller than the sum of its proper divisors (265000454410568).

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

200649362093752 is a wasteful number, since it uses less digits than its factorization.

200649362093752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129174 (or 129170 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 58.

The spelling of 200649362093752 in words is "two hundred trillion, six hundred forty-nine billion, three hundred sixty-two million, ninety-three thousand, seven hundred fifty-two".