34485300358443 has 32 divisors (see below), whose sum is σ = 55734172965120. Its totient is φ = 20900049209280.

The previous prime is 34485300358393. The next prime is 34485300358471.

34485300358443 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 53 + 0 + 0 + 3 + 584 + 4 + 3 = 666.

34485300358443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34485300358443 - 2¹⁰ = 34485300357419 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34485300358443.

It is not an unprimeable number, because it can be changed into a prime (34485300358643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67302471 + ... + 67812927.

It is an arithmetic number, because the mean of its divisors is an integer number (1741692905160).

Almost surely, 2^{34485300358443} is an apocalyptic number.

34485300358443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34485300358443 is a deficient number, since it is larger than the sum of its proper divisors (21248872606677).

34485300358443 is a wasteful number, since it uses less digits than its factorization.

34485300358443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737944 (or 737938 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 34485300358443 in words is "thirty-four trillion, four hundred eighty-five billion, three hundred million, three hundred fifty-eight thousand, four hundred forty-three".