204043801248 has 384 divisors, whose sum is σ = 721393827840. Its totient is φ = 54774558720.

The previous prime is 204043801243. The next prime is 204043801249. The reversal of 204043801248 is 842108340402.

204043801248 is a `hidden beast` number, since 2 + 0 + 404 + 3 + 8 + 0 + 1 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (204043801243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76390953 + ... + 76393623.

It is an arithmetic number, because the mean of its divisors is an integer number (1878629760).

Almost surely, 2^204043801248 is an apocalyptic number.

204043801248 is a gapful number since it is divisible by the number (28) 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 204043801248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360696913920).

204043801248 is an abundant number, since it is smaller than the sum of its proper divisors (517350026592).

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

204043801248 is a wasteful number, since it uses less digits than its factorization.

204043801248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 204043801248 in words is "two hundred four billion, forty-three million, eight hundred one thousand, two hundred forty-eight".