344400111112001 has 16 divisors (see below), whose sum is σ = 397292065230720. Its totient is φ = 292438952432640.

The previous prime is 344400111111989. The next prime is 344400111112049. The reversal of 344400111112001 is 100211111004443.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-344400111112001 is a prime.

It is a super-2 number, since 2×344400111112001² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344400111112061) 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 15 ways as a sum of consecutive naturals, for example, 324923786 + ... + 325982003.

It is an arithmetic number, because the mean of its divisors is an integer number (24830754076920).

Almost surely, 2^{344400111112001} is an apocalyptic number.

It is an amenable number.

344400111112001 is a deficient number, since it is larger than the sum of its proper divisors (52891954118719).

344400111112001 is a wasteful number, since it uses less digits than its factorization.

344400111112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650906504.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 344400111112001 its reverse (100211111004443), we get a palindrome (444611222116444).

The spelling of 344400111112001 in words is "three hundred forty-four trillion, four hundred billion, one hundred eleven million, one hundred twelve thousand, one".