14330411314112 has 112 divisors (see below), whose sum is σ = 28990818791424. Its totient is φ = 7026765312000.

The previous prime is 14330411313991. The next prime is 14330411314117. The reversal of 14330411314112 is 21141311403341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14330411314117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1379112437 + ... + 1379122827.

It is an arithmetic number, because the mean of its divisors is an integer number (258846596352).

Almost surely, 2^{14330411314112} 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 14330411314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495409395712).

14330411314112 is an abundant number, since it is smaller than the sum of its proper divisors (14660407477312).

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

14330411314112 is a wasteful number, since it uses less digits than its factorization.

14330411314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12058 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 14330411314112 its reverse (21141311403341), we get a palindrome (35471722717453).

The spelling of 14330411314112 in words is "fourteen trillion, three hundred thirty billion, four hundred eleven million, three hundred fourteen thousand, one hundred twelve".