16434221265 has 192 divisors, whose sum is σ = 37645171200. Its totient is φ = 6431846400.

The previous prime is 16434221261. The next prime is 16434221311. The reversal of 16434221265 is 56212243461.

16434221265 is a `hidden beast` number, since 1 + 6 + 434 + 2 + 212 + 6 + 5 = 666.

16434221265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16434221265 - 2² = 16434221261 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16434221261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4117891 + ... + 4121879.

It is an arithmetic number, because the mean of its divisors is an integer number (196068600).

Almost surely, 2^16434221265 is an apocalyptic number.

16434221265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16434221265 is an abundant number, since it is smaller than the sum of its proper divisors (21210949935).

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

16434221265 is a wasteful number, since it uses less digits than its factorization.

16434221265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4085 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 16434221265 in words is "sixteen billion, four hundred thirty-four million, two hundred twenty-one thousand, two hundred sixty-five".