34646133050211 has 72 divisors (see below), whose sum is σ = 50583455629200. Its totient is φ = 21020186378240.

The previous prime is 34646133050201. The next prime is 34646133050227. The reversal of 34646133050211 is 11205033164643.

It is not a de Polignac number, because 34646133050211 - 2⁷ = 34646133050083 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34646133050211.

It is not an unprimeable number, because it can be changed into a prime (34646133050201) 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 71 ways as a sum of consecutive naturals, for example, 1094683315 + ... + 1094714963.

It is an arithmetic number, because the mean of its divisors is an integer number (702547994850).

Almost surely, 2^{34646133050211} is an apocalyptic number.

34646133050211 is a deficient number, since it is larger than the sum of its proper divisors (15937322578989).

34646133050211 is a wasteful number, since it uses less digits than its factorization.

34646133050211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31977 (or 31823 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 34646133050211 in words is "thirty-four trillion, six hundred forty-six billion, one hundred thirty-three million, fifty thousand, two hundred eleven".