344640050066001 has 32 divisors (see below), whose sum is σ = 475626129149952. Its totient is φ = 221747538617280.

The previous prime is 344640050065999. The next prime is 344640050066159. The reversal of 344640050066001 is 100660050046443.

It is not a de Polignac number, because 344640050066001 - 2¹ = 344640050065999 is a prime.

It is a super-2 number, since 2×344640050066001² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344640050166001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90544611 + ... + 94274103.

It is an arithmetic number, because the mean of its divisors is an integer number (14863316535936).

Almost surely, 2^{344640050066001} is an apocalyptic number.

344640050066001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

344640050066001 is a deficient number, since it is larger than the sum of its proper divisors (130986079083951).

344640050066001 is a wasteful number, since it uses less digits than its factorization.

344640050066001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732213.

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 344640050066001 in words is "three hundred forty-four trillion, six hundred forty billion, fifty million, sixty-six thousand, one".