101643644417345 has 8 divisors (see below), whose sum is σ = 121974515124264. Its totient is φ = 81313487651584.

The previous prime is 101643644417327. The next prime is 101643644417347. The reversal of 101643644417345 is 543714446346101.

It can be written as a sum of positive squares in 4 ways, for example, as 9438173209921 + 92205471207424 = 3072161^2 + 9602368^2 .

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 101643644417345 - 2²⁰ = 101643643368769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101643644417347) 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, 178172024 + ... + 178741593.

It is an arithmetic number, because the mean of its divisors is an integer number (15246814390533).

Almost surely, 2^{101643644417345} is an apocalyptic number.

It is an amenable number.

101643644417345 is a deficient number, since it is larger than the sum of its proper divisors (20330870706919).

101643644417345 is an equidigital number, since it uses as much as digits as its factorization.

101643644417345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356970579.

The product of its (nonzero) digits is 11612160, while the sum is 53.

The spelling of 101643644417345 in words is "one hundred one trillion, six hundred forty-three billion, six hundred forty-four million, four hundred seventeen thousand, three hundred forty-five".