204563144412 has 192 divisors, whose sum is σ = 587559329280. Its totient is φ = 61031577600.

The previous prime is 204563144393. The next prime is 204563144413. The reversal of 204563144412 is 214441365402.

204563144412 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 631 + 4 + 4 + 4 + 12 = 666.

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 (204563144413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22696987 + ... + 22705997.

It is an arithmetic number, because the mean of its divisors is an integer number (3060204840).

Almost surely, 2^204563144412 is an apocalyptic number.

204563144412 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 204563144412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293779664640).

204563144412 is an abundant number, since it is smaller than the sum of its proper divisors (382996184868).

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

204563144412 is a wasteful number, since it uses less digits than its factorization.

204563144412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9329 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 204563144412 in words is "two hundred four billion, five hundred sixty-three million, one hundred forty-four thousand, four hundred twelve".