34768655686743 has 64 divisors (see below), whose sum is σ = 52001332231680. Its totient is φ = 20477978150400.

The previous prime is 34768655686741. The next prime is 34768655686781.

34768655686743 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34768655686743 - 2¹ = 34768655686741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34768655686741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4308913513 + ... + 4308921581.

It is an arithmetic number, because the mean of its divisors is an integer number (812520816120).

Almost surely, 2^{34768655686743} is an apocalyptic number.

34768655686743 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34768655686743 is a deficient number, since it is larger than the sum of its proper divisors (17232676544937).

34768655686743 is a wasteful number, since it uses less digits than its factorization.

34768655686743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11888.

The product of its digits is 14631321600, while the sum is 78.

The spelling of 34768655686743 in words is "thirty-four trillion, seven hundred sixty-eight billion, six hundred fifty-five million, six hundred eighty-six thousand, seven hundred forty-three".