305768079369 has 9 divisors (see below), whose sum is σ = 441667399719. Its totient is φ = 203844280320.

The previous prime is 305768079349. The next prime is 305768079413. The reversal of 305768079369 is 963970867503.

The square root of 305768079369 is 552963.

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., 255466560969 + 50301518400 = 505437^2 + 224280^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 305768079369 - 2⁹ = 305768078857 is a prime.

It is a super-2 number, since 2×305768079369² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (305768079349) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1566729 + ... + 1751049.

Almost surely, 2^305768079369 is an apocalyptic number.

305768079369 is the 552963-rd square number.

305768079369 is the 276482-nd centered octagonal number.

It is an amenable number.

305768079369 is a deficient number, since it is larger than the sum of its proper divisors (135899320350).

305768079369 is an frugal number, since it uses more digits than its factorization.

305768079369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368648 (or 184324 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 305768079369 in words is "three hundred five billion, seven hundred sixty-eight million, seventy-nine thousand, three hundred sixty-nine".