21184220304 has 225 divisors, whose sum is σ = 66606653289. Its totient is φ = 6497262720.

The previous prime is 21184220263. The next prime is 21184220347. The reversal of 21184220304 is 40302248112.

The square root of 21184220304 is 145548.

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

It can be written as a sum of positive squares in only one way, i.e., 3133760400 + 18050459904 = 55980^2 + 134352^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 44 ways as a sum of consecutive naturals, for example, 68116309 + ... + 68116619.

Almost surely, 2^21184220304 is an apocalyptic number.

21184220304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

21184220304 is the 145548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21184220304

21184220304 is an abundant number, since it is smaller than the sum of its proper divisors (45422432985).

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

21184220304 is an equidigital number, since it uses as much as digits as its factorization.

21184220304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21184220304 its reverse (40302248112), we get a palindrome (61486468416).

The spelling of 21184220304 in words is "twenty-one billion, one hundred eighty-four million, two hundred twenty thousand, three hundred four".