14685234727680 has 864 divisors, whose sum is σ = 58187119011840. Its totient is φ = 3386769408000.

The previous prime is 14685234727679. The next prime is 14685234727733. The reversal of 14685234727680 is 8672743258641.

14685234727680 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 523 + 4 + 7 + 27 + 6 + 80 = 666.

It is a super-2 number, since 2×14685234727680² (a number of 27 digits) contains 22 as substring.

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, 231739200 + ... + 231802560.

It is an arithmetic number, because the mean of its divisors is an integer number (67346202560).

Almost surely, 2^{14685234727680} is an apocalyptic number.

14685234727680 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 14685234727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29093559505920).

14685234727680 is an abundant number, since it is smaller than the sum of its proper divisors (43501884284160).

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

14685234727680 is a wasteful number, since it uses less digits than its factorization.

14685234727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63489 (or 63472 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 14685234727680 in words is "fourteen trillion, six hundred eighty-five billion, two hundred thirty-four million, seven hundred twenty-seven thousand, six hundred eighty".