383304701392561 has 27 divisors (see below), whose sum is σ = 440914078627491. Its totient is φ = 333003040391424.

The previous prime is 383304701392523. The next prime is 383304701392601. The reversal of 383304701392561 is 165293107403383.

It is a happy number.

The square root of 383304701392561 is 19578169.

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

It can be written as a sum of positive squares in 13 ways, for example, as 104469474702961 + 278835226689600 = 10221031^2 + 16698360^2 .

It is not a de Polignac number, because 383304701392561 - 2³⁷ = 383167262439089 is a prime.

It is a super-2 number, since 2×383304701392561² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (383304701390561) by changing a digit.

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, 4326731055 + ... + 4326819643.

It is a 1-persistent number, because it is pandigital, but 2⋅383304701392561 = 766609402785122 is not.

Almost surely, 2^{383304701392561} is an apocalyptic number.

383304701392561 is the 19578169-th square number.

383304701392561 is the 9789085-th centered octagonal number.

It is an amenable number.

383304701392561 is a deficient number, since it is larger than the sum of its proper divisors (57609377234930).

383304701392561 is an frugal number, since it uses more digits than its factorization.

383304701392561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177238 (or 88619 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 383304701392561 in words is "three hundred eighty-three trillion, three hundred four billion, seven hundred one million, three hundred ninety-two thousand, five hundred sixty-one".