204451408512 has 432 divisors, whose sum is σ = 672593377950. Its totient is φ = 59576684544.

The previous prime is 204451408507. The next prime is 204451408519. The reversal of 204451408512 is 215804154402.

204451408512 is a `hidden beast` number, since 20 + 44 + 514 + 0 + 85 + 1 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 143592492096 + 60858916416 = 378936^2 + 246696^2 .

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 (204451408519) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 70280914 + ... + 70283822.

Almost surely, 2^204451408512 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 204451408512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336296688975).

204451408512 is an abundant number, since it is smaller than the sum of its proper divisors (468141969438).

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

204451408512 is a wasteful number, since it uses less digits than its factorization.

204451408512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 204451408512 in words is "two hundred four billion, four hundred fifty-one million, four hundred eight thousand, five hundred twelve".