14130675648 has 168 divisors, whose sum is σ = 41253867200. Its totient is φ = 4623630336.

The previous prime is 14130675617. The next prime is 14130675721. The reversal of 14130675648 is 84657603141.

14130675648 is a `hidden beast` number, since 14 + 13 + 0 + 67 + 564 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8781468 + ... + 8783076.

Almost surely, 2^14130675648 is an apocalyptic number.

14130675648 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 14130675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20626933600).

14130675648 is an abundant number, since it is smaller than the sum of its proper divisors (27123191552).

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

14130675648 is a wasteful number, since it uses less digits than its factorization.

14130675648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14130675648 in words is "fourteen billion, one hundred thirty million, six hundred seventy-five thousand, six hundred forty-eight".