34124455305 has 32 divisors (see below), whose sum is σ = 60674190720. Its totient is φ = 18197161920.

The previous prime is 34124455279. The next prime is 34124455307. The reversal of 34124455305 is 50355442143.

34124455305 is a `hidden beast` number, since 341 + 2 + 4 + 4 + 5 + 5 + 305 = 666.

It is not a de Polignac number, because 34124455305 - 2⁸ = 34124455049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34124455305.

It is not an unprimeable number, because it can be changed into a prime (34124455307) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1327959 + ... + 1353411.

It is an arithmetic number, because the mean of its divisors is an integer number (1896068460).

Almost surely, 2^34124455305 is an apocalyptic number.

It is an amenable number.

34124455305 is a deficient number, since it is larger than the sum of its proper divisors (26549735415).

34124455305 is a wasteful number, since it uses less digits than its factorization.

34124455305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35398 (or 35392 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 34124455305 its reverse (50355442143), we get a palindrome (84479897448).

The spelling of 34124455305 in words is "thirty-four billion, one hundred twenty-four million, four hundred fifty-five thousand, three hundred five".