205141289472 has 900 divisors, whose sum is σ = 749519681130. Its totient is φ = 55631536128.

The previous prime is 205141289387. The next prime is 205141289473. The reversal of 205141289472 is 274982141502.

205141289472 is a `hidden beast` number, since 2 + 0 + 51 + 4 + 128 + 9 + 472 = 666.

205141289472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 173309020416 + 31832269056 = 416304^2 + 178416^2 .

It is not an unprimeable number, because it can be changed into a prime (205141289473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3476970979 + ... + 3476971037.

Almost surely, 2^205141289472 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 205141289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374759840565).

205141289472 is an abundant number, since it is smaller than the sum of its proper divisors (544378391658).

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

205141289472 is an frugal number, since it uses more digits than its factorization.

205141289472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 205141289472 in words is "two hundred five billion, one hundred forty-one million, two hundred eighty-nine thousand, four hundred seventy-two".