14117068800 has 840 divisors, whose sum is σ = 56044801296. Its totient is φ = 3503554560.

The previous prime is 14117068789. The next prime is 14117068807. The reversal of 14117068800 is 886071141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14117068807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 381542382 + ... + 381542418.

Almost surely, 2^14117068800 is an apocalyptic number.

14117068800 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 14117068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28022400648).

14117068800 is an abundant number, since it is smaller than the sum of its proper divisors (41927732496).

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

14117068800 is an equidigital number, since it uses as much as digits as its factorization.

14117068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 14117068800 in words is "fourteen billion, one hundred seventeen million, sixty-eight thousand, eight hundred".