14331680618112 has 768 divisors, whose sum is σ = 50281999152000. Its totient is φ = 3991862476800.

The previous prime is 14331680618077. The next prime is 14331680618153. The reversal of 14331680618112 is 21181608613341.

14331680618112 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 16 + 8 + 0 + 618 + 1 + 12 = 666.

It is a super-3 number, since 3×14331680618112³ (a number of 40 digits) contains 333 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, 1310139939 + ... + 1310150877.

Almost surely, 2^{14331680618112} is an apocalyptic number.

14331680618112 is a gapful number since it is divisible by the number (12) 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 14331680618112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25140999576000).

14331680618112 is an abundant number, since it is smaller than the sum of its proper divisors (35950318533888).

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

14331680618112 is a wasteful number, since it uses less digits than its factorization.

14331680618112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11238 (or 11209 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 14331680618112 in words is "fourteen trillion, three hundred thirty-one billion, six hundred eighty million, six hundred eighteen thousand, one hundred twelve".