12345043058208 has 288 divisors, whose sum is σ = 43629624065664. Its totient is φ = 3229954154496.

The previous prime is 12345043058207. The next prime is 12345043058209. The reversal of 12345043058208 is 80285034054321.

12345043058208 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 5 + 0 + 430 + 5 + 8 + 208 = 666.

It is an interprime number because it is at equal distance from previous prime (12345043058207) and next prime (12345043058209).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (12345043058207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3599610 + ... + 6135737.

It is an arithmetic number, because the mean of its divisors is an integer number (151491750228).

Almost surely, 2^{12345043058208} is an apocalyptic number.

12345043058208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12345043058208 is an abundant number, since it is smaller than the sum of its proper divisors (31284581007456).

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

12345043058208 is a wasteful number, since it uses less digits than its factorization.

12345043058208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9735424 (or 9735413 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 12345043058208 in words is "twelve trillion, three hundred forty-five billion, forty-three million, fifty-eight thousand, two hundred eight".