54306260345 has 8 divisors (see below), whose sum is σ = 65175144264. Its totient is φ = 43439920384.

The previous prime is 54306260339. The next prime is 54306260347.

It is a happy number.

54306260345 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 29140879849 + 25165380496 = 170707^2 + 158636^2 .

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 54306260345 - 2²⁰ = 54305211769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54306260299 and 54306260308.

It is not an unprimeable number, because it can be changed into a prime (54306260347) 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, 588704 + ... + 674673.

It is an arithmetic number, because the mean of its divisors is an integer number (8146893033).

Almost surely, 2^54306260345 is an apocalyptic number.

It is an amenable number.

54306260345 is a deficient number, since it is larger than the sum of its proper divisors (10868883919).

54306260345 is a wasteful number, since it uses less digits than its factorization.

54306260345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271979.

The product of its (nonzero) digits is 259200, while the sum is 38.

The spelling of 54306260345 in words is "fifty-four billion, three hundred six million, two hundred sixty thousand, three hundred forty-five".