344268862443 has 64 divisors (see below), whose sum is σ = 570353011200. Its totient is φ = 203420160000.

The previous prime is 344268862439. The next prime is 344268862459.

344268862443 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 6 + 8 + 8 + 624 + 4 + 3 = 666.

344268862443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344268862443 - 2² = 344268862439 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344268862443.

It is not an unprimeable number, because it can be changed into a prime (344268862403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19486548 + ... + 19504206.

It is an arithmetic number, because the mean of its divisors is an integer number (8911765800).

Almost surely, 2^344268862443 is an apocalyptic number.

344268862443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

344268862443 is a deficient number, since it is larger than the sum of its proper divisors (226084148757).

344268862443 is a wasteful number, since it uses less digits than its factorization.

344268862443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19321 (or 19315 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 344268862443 in words is "three hundred forty-four billion, two hundred sixty-eight million, eight hundred sixty-two thousand, four hundred forty-three".