204897914362752 has 128 divisors (see below), whose sum is σ = 586371213257760. Its totient is φ = 63019162632192.

The previous prime is 204897914362741. The next prime is 204897914362781. The reversal of 204897914362752 is 257263419798402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3369748 + ... + 20521964.

It is a 1-persistent number, because it is pandigital, but 2⋅204897914362752 = 409795828725504 is not.

Almost surely, 2^{204897914362752} 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 204897914362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293185606628880).

204897914362752 is an abundant number, since it is smaller than the sum of its proper divisors (381473298895008).

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

204897914362752 is a wasteful number, since it uses less digits than its factorization.

204897914362752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17154640 (or 17154628 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 69.

The spelling of 204897914362752 in words is "two hundred four trillion, eight hundred ninety-seven billion, nine hundred fourteen million, three hundred sixty-two thousand, seven hundred fifty-two".