205346735104 has 275 divisors, whose sum is σ = 508809568427. Its totient is φ = 82828935168.

The previous prime is 205346735093. The next prime is 205346735107. The reversal of 205346735104 is 401537643502.

It is a happy number.

The square root of 205346735104 is 453152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 63729992704 + 141616742400 = 252448^2 + 376320^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=476.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205346735107) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 12079219704 + ... + 12079219720.

Almost surely, 2^205346735104 is an apocalyptic number.

205346735104 is the 453152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205346735104

205346735104 is an abundant number, since it is smaller than the sum of its proper divisors (303462833323).

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

205346735104 is an frugal number, since it uses more digits than its factorization.

205346735104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 205346735104 in words is "two hundred five billion, three hundred forty-six million, seven hundred thirty-five thousand, one hundred four".