305216471296 has 243 divisors, whose sum is σ = 695117340477. Its totient is φ = 133652090880.

The previous prime is 305216471243. The next prime is 305216471311. The reversal of 305216471296 is 692174612503.

It is a happy number.

The square root of 305216471296 is 552464.

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., 173255737600 + 131960733696 = 416240^2 + 363264^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4181047516 + ... + 4181047588.

Almost surely, 2^305216471296 is an apocalyptic number.

305216471296 is the 552464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305216471296

305216471296 is an abundant number, since it is smaller than the sum of its proper divisors (389900869181).

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

305216471296 is an frugal number, since it uses more digits than its factorization.

305216471296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 305216471296 in words is "three hundred five billion, two hundred sixteen million, four hundred seventy-one thousand, two hundred ninety-six".