165733404337561 has 8 divisors (see below), whose sum is σ = 167742547477344. Its totient is φ = 163724555367840.

The previous prime is 165733404337489. The next prime is 165733404337597.

165733404337561 is nontrivially palindromic in base 10.

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 165733404337561 - 2¹³ = 165733404329369 is a prime.

It is a super-2 number, since 2×165733404337561² (a number of 29 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 = 165733404337496 and 165733404337505.

It is not an unprimeable number, because it can be changed into a prime (165733404337861) 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, 72408795 + ... + 74662576.

It is an arithmetic number, because the mean of its divisors is an integer number (20967818434668).

Almost surely, 2^{165733404337561} is an apocalyptic number.

It is an amenable number.

165733404337561 is a deficient number, since it is larger than the sum of its proper divisors (2009143139783).

165733404337561 is a wasteful number, since it uses less digits than its factorization.

165733404337561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147085031.

The product of its (nonzero) digits is 57153600, while the sum is 58.

The spelling of 165733404337561 in words is "one hundred sixty-five trillion, seven hundred thirty-three billion, four hundred four million, three hundred thirty-seven thousand, five hundred sixty-one".