205312296996 has 81 divisors (see below), whose sum is σ = 539110144209. Its totient is φ = 68412964176.

The previous prime is 205312296977. The next prime is 205312297027. The reversal of 205312296996 is 699692213502.

It is a happy number.

The square root of 205312296996 is 453114.

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

205312296996 is a `hidden beast` number, since 20 + 531 + 2 + 29 + 69 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 151795952100 + 53516344896 = 389610^2 + 231336^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73403070 + ... + 73405866.

Almost surely, 2^205312296996 is an apocalyptic number.

205312296996 is the 453114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205312296996

205312296996 is an abundant number, since it is smaller than the sum of its proper divisors (333797847213).

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

205312296996 is an frugal number, since it uses more digits than its factorization.

205312296996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5622 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

It can be divided in two parts, 2053 and 12296996, that added together give a square (12299049 = 3507²).

The spelling of 205312296996 in words is "two hundred five billion, three hundred twelve million, two hundred ninety-six thousand, nine hundred ninety-six".