286145338420561 has 27 divisors (see below), whose sum is σ = 292207725616593. Its totient is φ = 280207357348800.

The previous prime is 286145338420451. The next prime is 286145338420573. The reversal of 286145338420561 is 165024833541682.

It is a happy number.

The square root of 286145338420561 is 16915831.

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 173636465140161 + 112508873280400 = 13177119^2 + 10607020^2 .

It is not a de Polignac number, because 286145338420561 - 2²¹ = 286145336323409 is a prime.

It is a super-2 number, since 2×286145338420561² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 286145338420496 and 286145338420505.

It is not an unprimeable number, because it can be changed into a prime (286145338420961) 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, 408195917511 + ... + 408195918211.

Almost surely, 2^{286145338420561} is an apocalyptic number.

286145338420561 is the 16915831-st square number.

286145338420561 is the 8457916-th centered octagonal number.

It is an amenable number.

286145338420561 is a deficient number, since it is larger than the sum of its proper divisors (6062387196032).

286145338420561 is an frugal number, since it uses more digits than its factorization.

286145338420561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 58.

The spelling of 286145338420561 in words is "two hundred eighty-six trillion, one hundred forty-five billion, three hundred thirty-eight million, four hundred twenty thousand, five hundred sixty-one".