30083722128769 has 27 divisors (see below), whose sum is σ = 33729930876681. Its totient is φ = 26822296437120.

The previous prime is 30083722128721. The next prime is 30083722128833. The reversal of 30083722128769 is 96782122738003.

The square root of 30083722128769 is 5484863.

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 19693491930225 + 10390230198544 = 4437735^2 + 3223388^2 .

It is a de Polignac number, because none of the positive numbers 2^k-30083722128769 is a prime.

It is a super-2 number, since 2×30083722128769² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30083722128469) 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, 1771602259 + ... + 1771619239.

Almost surely, 2^{30083722128769} is an apocalyptic number.

30083722128769 is the 5484863-rd square number.

30083722128769 is the 2742432-nd centered octagonal number.

It is an amenable number.

30083722128769 is a deficient number, since it is larger than the sum of its proper divisors (3646208747912).

30083722128769 is an frugal number, since it uses more digits than its factorization.

30083722128769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34034 (or 17017 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 58.

The spelling of 30083722128769 in words is "thirty trillion, eighty-three billion, seven hundred twenty-two million, one hundred twenty-eight thousand, seven hundred sixty-nine".