205219872144 has 135 divisors (see below), whose sum is σ = 668222783553. Its totient is φ = 58623376896.

The previous prime is 205219872107. The next prime is 205219872149. The reversal of 205219872144 is 441278912502.

The square root of 205219872144 is 453012.

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

205219872144 is a `hidden beast` number, since 2 + 0 + 521 + 9 + 87 + 2 + 1 + 44 = 666.

205219872144 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., 195593907600 + 9625964544 = 442260^2 + 98112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 205219872144.

It is not an unprimeable number, because it can be changed into a prime (205219872149) 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 26 ways as a sum of consecutive naturals, for example, 38050312 + ... + 38055704.

Almost surely, 2^205219872144 is an apocalyptic number.

205219872144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

205219872144 is the 453012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205219872144

205219872144 is an abundant number, since it is smaller than the sum of its proper divisors (463002911409).

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

205219872144 is an frugal number, since it uses more digits than its factorization.

205219872144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10814 (or 5405 counting only the distinct ones).

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

The spelling of 205219872144 in words is "two hundred five billion, two hundred nineteen million, eight hundred seventy-two thousand, one hundred forty-four".