14086079684640 has 576 divisors, whose sum is σ = 49994830005120. Its totient is φ = 3608919982080.

The previous prime is 14086079684629. The next prime is 14086079684653. The reversal of 14086079684640 is 4648697068041.

14086079684640 is a `hidden beast` number, since 1 + 4 + 0 + 86 + 0 + 7 + 96 + 8 + 464 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1758338235 + ... + 1758346245.

It is an arithmetic number, because the mean of its divisors is an integer number (86796579870).

Almost surely, 2^{14086079684640} is an apocalyptic number.

14086079684640 is a gapful number since it is divisible by the number (10) 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 14086079684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24997415002560).

14086079684640 is an abundant number, since it is smaller than the sum of its proper divisors (35908750320480).

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

14086079684640 is a wasteful number, since it uses less digits than its factorization.

14086079684640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8537 (or 8526 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 14086079684640 in words is "fourteen trillion, eighty-six billion, seventy-nine million, six hundred eighty-four thousand, six hundred forty".