14334211342344 has 128 divisors (see below), whose sum is σ = 37715932800000. Its totient is φ = 4533148424448.

The previous prime is 14334211342261. The next prime is 14334211342351. The reversal of 14334211342344 is 44324311243341.

It is a super-2 number, since 2×14334211342344² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95974077 + ... + 96123315.

It is an arithmetic number, because the mean of its divisors is an integer number (294655725000).

Almost surely, 2^{14334211342344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14334211342344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18857966400000).

14334211342344 is an abundant number, since it is smaller than the sum of its proper divisors (23381721457656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14334211342344 is a wasteful number, since it uses less digits than its factorization.

14334211342344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151675 (or 151671 counting only the distinct ones).

The product of its digits is 331776, while the sum is 39.

Adding to 14334211342344 its reverse (44324311243341), we get a palindrome (58658522585685).

The spelling of 14334211342344 in words is "fourteen trillion, three hundred thirty-four billion, two hundred eleven million, three hundred forty-two thousand, three hundred forty-four".