204297781248 has 720 divisors, whose sum is σ = 706634772480. Its totient is φ = 56151244800.

The previous prime is 204297781243. The next prime is 204297781249. The reversal of 204297781248 is 842187792402.

204297781248 is a `hidden beast` number, since 20 + 429 + 7 + 78 + 124 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 204297781194 and 204297781203.

It is not an unprimeable number, because it can be changed into a prime (204297781243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 854802313 + ... + 854802551.

It is an arithmetic number, because the mean of its divisors is an integer number (981437184).

Almost surely, 2^204297781248 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 204297781248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353317386240).

204297781248 is an abundant number, since it is smaller than the sum of its proper divisors (502336991232).

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

204297781248 is a wasteful number, since it uses less digits than its factorization.

204297781248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 204297781248 in words is "two hundred four billion, two hundred ninety-seven million, seven hundred eighty-one thousand, two hundred forty-eight".