384361560961 has 27 divisors (see below), whose sum is σ = 462164541507. Its totient is φ = 318713663520.

The previous prime is 384361560931. The next prime is 384361560967. The reversal of 384361560961 is 169065163483.

The square root of 384361560961 is 619969.

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., 258943588225 + 125417972736 = 508865^2 + 354144^2 .

It is not a de Polignac number, because 384361560961 - 2⁹ = 384361560449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 384361560899 and 384361560908.

It is not an unprimeable number, because it can be changed into a prime (384361560967) 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, 134531845 + ... + 134534701.

It is an arithmetic number, because the mean of its divisors is an integer number (17117205241).

Almost surely, 2^384361560961 is an apocalyptic number.

384361560961 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

384361560961 is the 619969-th square number.

384361560961 is the 309985-th centered octagonal number.

It is an amenable number.

384361560961 is a deficient number, since it is larger than the sum of its proper divisors (77802980546).

384361560961 is an frugal number, since it uses more digits than its factorization.

384361560961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

It can be divided in two parts, 3843615 and 60961, that added together give a square (3904576 = 1976²).

The spelling of 384361560961 in words is "three hundred eighty-four billion, three hundred sixty-one million, five hundred sixty thousand, nine hundred sixty-one".