165435646534561 has 8 divisors (see below), whose sum is σ = 184304964309480. Its totient is φ = 147443971446912.

The previous prime is 165435646534517. The next prime is 165435646534583.

165435646534561 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 32933538500625 + 132502108033936 = 5738775^2 + 11510956^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 165435646534561 - 2¹⁵ = 165435646501793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 165435646534493 and 165435646534502.

It is not an unprimeable number, because it can be changed into a prime (165435646534511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219410671420 + ... + 219410672173.

It is an arithmetic number, because the mean of its divisors is an integer number (23038120538685).

Almost surely, 2^{165435646534561} is an apocalyptic number.

It is an amenable number.

165435646534561 is a deficient number, since it is larger than the sum of its proper divisors (18869317774919).

165435646534561 is a wasteful number, since it uses less digits than its factorization.

165435646534561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438821343635.

The product of its digits is 466560000, while the sum is 64.

The spelling of 165435646534561 in words is "one hundred sixty-five trillion, four hundred thirty-five billion, six hundred forty-six million, five hundred thirty-four thousand, five hundred sixty-one".