645314323413546 has 16 divisors (see below), whose sum is σ = 1434031829808000. Its totient is φ = 215104774471164.

The previous prime is 645314323413541. The next prime is 645314323413553.

645314323413546 is a `hidden beast` number, since 6 + 4 + 5 + 3 + 1 + 432 + 34 + 135 + 46 = 666.

645314323413546 is nontrivially palindromic in base 10.

645314323413546 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 11950265248399 = 645314323413546 / (6 + 4 + 5 + 3 + 1 + 4 + 3 + 2 + 3 + 4 + 1 + 3 + 5 + 4 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 645314323413492 and 645314323413501.

It is not an unprimeable number, because it can be changed into a prime (645314323413541) 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, 5975132624146 + ... + 5975132624253.

It is an arithmetic number, because the mean of its divisors is an integer number (89626989363000).

Almost surely, 2^{645314323413546} is an apocalyptic number.

645314323413546 is an abundant number, since it is smaller than the sum of its proper divisors (788717506394454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

645314323413546 is a wasteful number, since it uses less digits than its factorization.

645314323413546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11950265248410 (or 11950265248404 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 54.

The spelling of 645314323413546 in words is "six hundred forty-five trillion, three hundred fourteen billion, three hundred twenty-three million, four hundred thirteen thousand, five hundred forty-six".