200488917049344 has 5376 divisors, whose sum is σ = 845816008826880. Its totient is φ = 45910578954240.

The previous prime is 200488917049297. The next prime is 200488917049417. The reversal of 200488917049344 is 443940719884002.

200488917049344 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 8 + 89 + 170 + 49 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 3782809755622 + ... + 3782809755674.

It is an arithmetic number, because the mean of its divisors is an integer number (157331846880).

Almost surely, 2^{200488917049344} is an apocalyptic number.

200488917049344 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 200488917049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422908004413440).

200488917049344 is an abundant number, since it is smaller than the sum of its proper divisors (645327091777536).

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

200488917049344 is a wasteful number, since it uses less digits than its factorization.

200488917049344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 200488917049344 in words is "two hundred trillion, four hundred eighty-eight billion, nine hundred seventeen million, forty-nine thousand, three hundred forty-four".