204964411392 has 432 divisors, whose sum is σ = 665028229320. Its totient is φ = 63040094208.

The previous prime is 204964411369. The next prime is 204964411409. The reversal of 204964411392 is 293114469402.

204964411392 is a `hidden beast` number, since 2 + 0 + 496 + 44 + 113 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84103998 + ... + 84106434.

Almost surely, 2^204964411392 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 204964411392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332514114660).

204964411392 is an abundant number, since it is smaller than the sum of its proper divisors (460063817928).

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

204964411392 is an equidigital number, since it uses as much as digits as its factorization.

204964411392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 204964411392 in words is "two hundred four billion, nine hundred sixty-four million, four hundred eleven thousand, three hundred ninety-two".