14134067656128 has 448 divisors, whose sum is σ = 48790072396800. Its totient is φ = 3927619031040.

The previous prime is 14134067656127. The next prime is 14134067656141. The reversal of 14134067656128 is 82165676043141.

14134067656128 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 4 + 0 + 6 + 76 + 561 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14134067656127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1602679303 + ... + 1602688121.

It is an arithmetic number, because the mean of its divisors is an integer number (108906411600).

Almost surely, 2^{14134067656128} is an apocalyptic number.

14134067656128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14134067656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24395036198400).

14134067656128 is an abundant number, since it is smaller than the sum of its proper divisors (34656004740672).

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

14134067656128 is a wasteful number, since it uses less digits than its factorization.

14134067656128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12465 (or 12449 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 14134067656128 in words is "fourteen trillion, one hundred thirty-four billion, sixty-seven million, six hundred fifty-six thousand, one hundred twenty-eight".