205473036162150 has 144 divisors (see below), whose sum is σ = 572506461085104. Its totient is φ = 54790601748480.

The previous prime is 205473036162113. The next prime is 205473036162161. The reversal of 205473036162150 is 51261630374502.

205473036162150 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 7 + 3 + 0 + 3 + 616 + 21 + 5 + 0 = 666.

205473036162150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 205473036162096 and 205473036162105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 313057122 + ... + 313712778.

It is an arithmetic number, because the mean of its divisors is an integer number (3975739313091).

Almost surely, 2^{205473036162150} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205473036162150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286253230542552).

205473036162150 is an abundant number, since it is smaller than the sum of its proper divisors (367033424922954).

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

205473036162150 is a wasteful number, since it uses less digits than its factorization.

205473036162150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681477 (or 681460 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 205473036162150 in words is "two hundred five trillion, four hundred seventy-three billion, thirty-six million, one hundred sixty-two thousand, one hundred fifty".