304393854961 has 27 divisors (see below), whose sum is σ = 356629177281. Its totient is φ = 259051932384.

The previous prime is 304393854911. The next prime is 304393854967. The reversal of 304393854961 is 169458393403.

The square root of 304393854961 is 551719.

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

It can be written as a sum of positive squares in 4 ways, for example, as 193071025 + 304200783936 = 13895^2 + 551544^2 .

It is not a de Polignac number, because 304393854961 - 2⁷ = 304393854833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (304393854967) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1038886731 + ... + 1038887023.

Almost surely, 2^304393854961 is an apocalyptic number.

304393854961 is the 551719-th square number.

304393854961 is the 275860-th centered octagonal number.

It is an amenable number.

304393854961 is a deficient number, since it is larger than the sum of its proper divisors (52235322320).

304393854961 is an frugal number, since it uses more digits than its factorization.

304393854961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 55.

The spelling of 304393854961 in words is "three hundred four billion, three hundred ninety-three million, eight hundred fifty-four thousand, nine hundred sixty-one".