306488466403344 has 135 divisors (see below), whose sum is σ = 860692386033727. Its totient is φ = 101812615867200.

The previous prime is 306488466403253. The next prime is 306488466403387. The reversal of 306488466403344 is 443304664884603.

The square root of 306488466403344 is 17506812.

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

306488466403344 is a `hidden beast` number, since 3 + 0 + 6 + 488 + 46 + 6 + 40 + 33 + 44 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65335420039 + ... + 65335424729.

Almost surely, 2^{306488466403344} is an apocalyptic number.

306488466403344 is the 17506812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306488466403344

306488466403344 is an abundant number, since it is smaller than the sum of its proper divisors (554203919630383).

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

306488466403344 is an frugal number, since it uses more digits than its factorization.

306488466403344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10018 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 63.

The spelling of 306488466403344 in words is "three hundred six trillion, four hundred eighty-eight billion, four hundred sixty-six million, four hundred three thousand, three hundred forty-four".