209344681764 has 189 divisors, whose sum is σ = 567001050147. Its totient is φ = 67599085248.

The previous prime is 209344681759. The next prime is 209344681789. The reversal of 209344681764 is 467186443902.

The square root of 209344681764 is 457542.

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

209344681764 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 4 + 468 + 176 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143497016100 + 65847665664 = 378810^2 + 256608^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 209344681764.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 914168802 + ... + 914169030.

Almost surely, 2^209344681764 is an apocalyptic number.

209344681764 is the 457542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209344681764

209344681764 is an abundant number, since it is smaller than the sum of its proper divisors (357656368383).

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

209344681764 is an frugal number, since it uses more digits than its factorization.

209344681764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 209344681764 in words is "two hundred nine billion, three hundred forty-four million, six hundred eighty-one thousand, seven hundred sixty-four".