6414431424345 has 64 divisors (see below), whose sum is σ = 13032829908480. Its totient is φ = 2932236288000.

The previous prime is 6414431424341. The next prime is 6414431424361. The reversal of 6414431424345 is 5434241344146.

6414431424345 is a `hidden beast` number, since 6 + 4 + 144 + 31 + 42 + 434 + 5 = 666.

It is not a de Polignac number, because 6414431424345 - 2² = 6414431424341 is a prime.

It is a super-2 number, since 2×6414431424345² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6414431424345.

It is not an unprimeable number, because it can be changed into a prime (6414431424341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55622745 + ... + 55737945.

It is an arithmetic number, because the mean of its divisors is an integer number (203637967320).

Almost surely, 2^{6414431424345} is an apocalyptic number.

It is an amenable number.

6414431424345 is an abundant number, since it is smaller than the sum of its proper divisors (6618398484135).

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

6414431424345 is a wasteful number, since it uses less digits than its factorization.

6414431424345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174143 (or 174137 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 45.

The spelling of 6414431424345 in words is "six trillion, four hundred fourteen billion, four hundred thirty-one million, four hundred twenty-four thousand, three hundred forty-five".