204245788032 has 512 divisors, whose sum is σ = 732666816000. Its totient is φ = 55157760000.

The previous prime is 204245788031. The next prime is 204245788081. The reversal of 204245788032 is 230887542402.

204245788032 is a `hidden beast` number, since 2 + 0 + 42 + 4 + 578 + 8 + 0 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204245788031) 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, 14324907 + ... + 14339157.

It is an arithmetic number, because the mean of its divisors is an integer number (1430989875).

Almost surely, 2^204245788032 is an apocalyptic number.

204245788032 is a gapful number since it is divisible by the number (22) 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 204245788032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366333408000).

204245788032 is an abundant number, since it is smaller than the sum of its proper divisors (528421027968).

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

204245788032 is a wasteful number, since it uses less digits than its factorization.

204245788032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14327 (or 14309 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 204245788032 in words is "two hundred four billion, two hundred forty-five million, seven hundred eighty-eight thousand, thirty-two".