34646677664643 has 36 divisors (see below), whose sum is σ = 56110178510568. Its totient is φ = 20430473235840.

The previous prime is 34646677664639. The next prime is 34646677664653.

34646677664643 is a `hidden beast` number, since 3 + 4 + 6 + 46 + 67 + 7 + 66 + 464 + 3 = 666.

34646677664643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34646677664643 - 2² = 34646677664639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34646677664653) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127682746 + ... + 127953807.

It is an arithmetic number, because the mean of its divisors is an integer number (1558616069738).

Almost surely, 2^{34646677664643} is an apocalyptic number.

34646677664643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34646677664643 is a deficient number, since it is larger than the sum of its proper divisors (21463500845925).

34646677664643 is a wasteful number, since it uses less digits than its factorization.

34646677664643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255636644 (or 255636604 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 72.

The spelling of 34646677664643 in words is "thirty-four trillion, six hundred forty-six billion, six hundred seventy-seven million, six hundred sixty-four thousand, six hundred forty-three".