204382954492416 has 480 divisors, whose sum is σ = 751351462392960. Its totient is φ = 52067481550848.

The previous prime is 204382954492391. The next prime is 204382954492429. The reversal of 204382954492416 is 614294459283402.

204382954492416 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 8 + 2 + 95 + 44 + 92 + 416 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610210 + ... + 20227166.

It is an arithmetic number, because the mean of its divisors is an integer number (1565315546652).

Almost surely, 2^{204382954492416} 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 204382954492416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375675731196480).

204382954492416 is an abundant number, since it is smaller than the sum of its proper divisors (546968507900544).

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

204382954492416 is a wasteful number, since it uses less digits than its factorization.

204382954492416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19617024 (or 19617005 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 204382954492416 in words is "two hundred four trillion, three hundred eighty-two billion, nine hundred fifty-four million, four hundred ninety-two thousand, four hundred sixteen".