14385012889104 has 640 divisors, whose sum is σ = 49308404060160. Its totient is φ = 3957648076800.

The previous prime is 14385012889031. The next prime is 14385012889109. The reversal of 14385012889104 is 40198821058341.

14385012889104 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 501 + 28 + 8 + 9 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14385012889109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3149770629 + ... + 3149775195.

It is an arithmetic number, because the mean of its divisors is an integer number (77044381344).

Almost surely, 2^{14385012889104} 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 14385012889104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24654202030080).

14385012889104 is an abundant number, since it is smaller than the sum of its proper divisors (34923391171056).

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

14385012889104 is a wasteful number, since it uses less digits than its factorization.

14385012889104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 14385012889104 in words is "fourteen trillion, three hundred eighty-five billion, twelve million, eight hundred eighty-nine thousand, one hundred four".