304221464122464 has 144 divisors (see below), whose sum is σ = 1012834874731680. Its totient is φ = 84800408094720.

The previous prime is 304221464122463. The next prime is 304221464122549. The reversal of 304221464122464 is 464221464122403.

304221464122464 is a `hidden beast` number, since 3 + 0 + 4 + 2 + 2 + 1 + 4 + 64 + 122 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304221464122463) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1840203979 + ... + 1840369290.

It is an arithmetic number, because the mean of its divisors is an integer number (7033575518970).

Almost surely, 2^{304221464122464} is an apocalyptic number.

It is an amenable number.

304221464122464 is an abundant number, since it is smaller than the sum of its proper divisors (708613410609216).

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

304221464122464 is a wasteful number, since it uses less digits than its factorization.

304221464122464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680573333 (or 3680573322 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 304221464122464 in words is "three hundred four trillion, two hundred twenty-one billion, four hundred sixty-four million, one hundred twenty-two thousand, four hundred sixty-four".