14093651083680 has 1152 divisors, whose sum is σ = 59770059148800. Its totient is φ = 3012318167040.

The previous prime is 14093651083649. The next prime is 14093651083741. The reversal of 14093651083680 is 8638015639041.

14093651083680 is a `hidden beast` number, since 1 + 4 + 0 + 93 + 6 + 510 + 8 + 36 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1318267135 + ... + 1318277825.

It is an arithmetic number, because the mean of its divisors is an integer number (51883731900).

Almost surely, 2^{14093651083680} is an apocalyptic number.

14093651083680 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 14093651083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29885029574400).

14093651083680 is an abundant number, since it is smaller than the sum of its proper divisors (45676408065120).

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

14093651083680 is a wasteful number, since it uses less digits than its factorization.

14093651083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10907 (or 10882 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 14093651083680 in words is "fourteen trillion, ninety-three billion, six hundred fifty-one million, eighty-three thousand, six hundred eighty".