204564911616 has 960 divisors, whose sum is σ = 707380439040. Its totient is φ = 58925408256.

The previous prime is 204564911591. The next prime is 204564911711. The reversal of 204564911616 is 616119465402.

204564911616 is a `hidden beast` number, since 20 + 4 + 5 + 6 + 4 + 9 + 1 + 1 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4352444905 + ... + 4352444951.

It is an arithmetic number, because the mean of its divisors is an integer number (736854624).

Almost surely, 2^204564911616 is an apocalyptic number.

204564911616 is a gapful number since it is divisible by the number (26) 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 204564911616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353690219520).

204564911616 is an abundant number, since it is smaller than the sum of its proper divisors (502815527424).

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

204564911616 is an frugal number, since it uses more digits than its factorization.

204564911616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 204564911616 in words is "two hundred four billion, five hundred sixty-four million, nine hundred eleven thousand, six hundred sixteen".