5430646460345 has 64 divisors (see below), whose sum is σ = 7092521243136. Its totient is φ = 3976899379200.

The previous prime is 5430646460287. The next prime is 5430646460381.

5430646460345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5430646460345 - 2¹⁴ = 5430646443961 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5430646460293 and 5430646460302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128341682 + ... + 128383988.

It is an arithmetic number, because the mean of its divisors is an integer number (110820644424).

Almost surely, 2^{5430646460345} is an apocalyptic number.

It is an amenable number.

5430646460345 is a deficient number, since it is larger than the sum of its proper divisors (1661874782791).

5430646460345 is a wasteful number, since it uses less digits than its factorization.

5430646460345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42690.

The product of its (nonzero) digits is 12441600, while the sum is 50.

The spelling of 5430646460345 in words is "five trillion, four hundred thirty billion, six hundred forty-six million, four hundred sixty thousand, three hundred forty-five".