14137718404128 has 192 divisors, whose sum is σ = 40831187564160. Its totient is φ = 4282969743360.

The previous prime is 14137718404111. The next prime is 14137718404153. The reversal of 14137718404128 is 82140481773141.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533707108 + ... + 533733596.

It is an arithmetic number, because the mean of its divisors is an integer number (212662435230).

Almost surely, 2^{14137718404128} 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 14137718404128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20415593782080).

14137718404128 is an abundant number, since it is smaller than the sum of its proper divisors (26693469160032).

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

14137718404128 is a wasteful number, since it uses less digits than its factorization.

14137718404128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30712 (or 30682 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The spelling of 14137718404128 in words is "fourteen trillion, one hundred thirty-seven billion, seven hundred eighteen million, four hundred four thousand, one hundred twenty-eight".