14355234133344 has 384 divisors, whose sum is σ = 46029972643200. Its totient is φ = 4325566095360.

The previous prime is 14355234133333. The next prime is 14355234133351. The reversal of 14355234133344 is 44333143255341.

14355234133344 is a `hidden beast` number, since 1 + 4 + 3 + 552 + 34 + 1 + 33 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14355234133344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156854062 + ... + 156945554.

It is an arithmetic number, because the mean of its divisors is an integer number (119869720425).

Almost surely, 2^{14355234133344} 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 14355234133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23014986321600).

14355234133344 is an abundant number, since it is smaller than the sum of its proper divisors (31674738509856).

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

14355234133344 is a wasteful number, since it uses less digits than its factorization.

14355234133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91815 (or 91801 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 45.

Adding to 14355234133344 its reverse (44333143255341), we get a palindrome (58688377388685).

The spelling of 14355234133344 in words is "fourteen trillion, three hundred fifty-five billion, two hundred thirty-four million, one hundred thirty-three thousand, three hundred forty-four".