344855258209 has 64 divisors (see below), whose sum is σ = 441693757440. Its totient is φ = 261496926720.

The previous prime is 344855258147. The next prime is 344855258221. The reversal of 344855258209 is 902852558443.

It is a cyclic number.

It is not a de Polignac number, because 344855258209 - 2¹⁷ = 344855127137 is a prime.

It is a super-2 number, since 2×344855258209² (a number of 24 digits) contains 22 as substring.

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 344855258209.

It is not an unprimeable number, because it can be changed into a prime (344855258249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183530332 + ... + 183532210.

It is an arithmetic number, because the mean of its divisors is an integer number (6901464960).

Almost surely, 2^344855258209 is an apocalyptic number.

It is an amenable number.

344855258209 is a deficient number, since it is larger than the sum of its proper divisors (96838499231).

344855258209 is a wasteful number, since it uses less digits than its factorization.

344855258209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390.

The product of its (nonzero) digits is 13824000, while the sum is 55.

The spelling of 344855258209 in words is "three hundred forty-four billion, eight hundred fifty-five million, two hundred fifty-eight thousand, two hundred nine".