201754838721568 has 384 divisors, whose sum is σ = 480647144678400. Its totient is φ = 82282492723200.

The previous prime is 201754838721563. The next prime is 201754838721577. The reversal of 201754838721568 is 865127838457102.

It is not an unprimeable number, because it can be changed into a prime (201754838721563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7255005648 + ... + 7255033456.

It is an arithmetic number, because the mean of its divisors is an integer number (1251685272600).

Almost surely, 2^{201754838721568} 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 201754838721568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240323572339200).

201754838721568 is an abundant number, since it is smaller than the sum of its proper divisors (278892305956832).

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

201754838721568 is a wasteful number, since it uses less digits than its factorization.

201754838721568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28404 (or 28396 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 67.

The spelling of 201754838721568 in words is "two hundred one trillion, seven hundred fifty-four billion, eight hundred thirty-eight million, seven hundred twenty-one thousand, five hundred sixty-eight".