34968444486943 has 48 divisors (see below), whose sum is σ = 40201236956160. Its totient is φ = 30371162360000.

The previous prime is 34968444486893. The next prime is 34968444486947.

34968444486943 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-34968444486943 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34968444486943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34968444486947) 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, 40352748 + ... + 41210206.

It is an arithmetic number, because the mean of its divisors is an integer number (837525769920).

Almost surely, 2^{34968444486943} is an apocalyptic number.

34968444486943 is a deficient number, since it is larger than the sum of its proper divisors (5232792469217).

34968444486943 is a wasteful number, since it uses less digits than its factorization.

34968444486943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857700 (or 857689 counting only the distinct ones).

The product of its digits is 6879707136, while the sum is 76.

The spelling of 34968444486943 in words is "thirty-four trillion, nine hundred sixty-eight billion, four hundred forty-four million, four hundred eighty-six thousand, nine hundred forty-three".