223369664400 has 135 divisors (see below), whose sum is σ = 775253202451. Its totient is φ = 59557681920.

The previous prime is 223369664393. The next prime is 223369664423. The reversal of 223369664400 is 4466963322.

The square root of 223369664400 is 472620.

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

223369664400 is a `hidden beast` number, since 2 + 233 + 6 + 9 + 6 + 6 + 4 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56356860816 + 167012803584 = 237396^2 + 408672^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28353262 + ... + 28361138.

Almost surely, 2^223369664400 is an apocalyptic number.

223369664400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

223369664400 is the 472620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223369664400

223369664400 is an abundant number, since it is smaller than the sum of its proper divisors (551883538051).

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

223369664400 is an frugal number, since it uses more digits than its factorization.

223369664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15778 (or 7887 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 223369664400 in words is "two hundred twenty-three billion, three hundred sixty-nine million, six hundred sixty-four thousand, four hundred".