204124292352 has 576 divisors, whose sum is σ = 665068544000. Its totient is φ = 62280161280.

The previous prime is 204124292293. The next prime is 204124292353. The reversal of 204124292352 is 253292421402.

204124292352 is a `hidden beast` number, since 2 + 0 + 4 + 12 + 4 + 292 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204124292353) 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, 329764299 + ... + 329764917.

Almost surely, 2^204124292352 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 204124292352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332534272000).

204124292352 is an abundant number, since it is smaller than the sum of its proper divisors (460944251648).

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

204124292352 is an frugal number, since it uses more digits than its factorization.

204124292352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 204124292352 in words is "two hundred four billion, one hundred twenty-four million, two hundred ninety-two thousand, three hundred fifty-two".