204295074048 has 540 divisors, whose sum is σ = 667544046708. Its totient is φ = 62108467200.

The previous prime is 204295073993. The next prime is 204295074073. The reversal of 204295074048 is 840470592402.

204295074048 is a `hidden beast` number, since 20 + 42 + 9 + 507 + 40 + 48 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10511990784 + 193783083264 = 102528^2 + 440208^2 .

It is a junction number, because it is equal to n+sod(n) for n = 204295073994 and 204295074012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 339924948 + ... + 339925548.

Almost surely, 2^204295074048 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 204295074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333772023354).

204295074048 is an abundant number, since it is smaller than the sum of its proper divisors (463248972660).

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

204295074048 is an equidigital number, since it uses as much as digits as its factorization.

204295074048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 204295074048 in words is "two hundred four billion, two hundred ninety-five million, seventy-four thousand, forty-eight".