14113796578200 has 576 divisors, whose sum is σ = 54870056841600. Its totient is φ = 3341950617600.

The previous prime is 14113796578139. The next prime is 14113796578213. The reversal of 14113796578200 is 287569731141.

14113796578200 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 379 + 65 + 7 + 8 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22680816 + ... + 23294784.

It is an arithmetic number, because the mean of its divisors is an integer number (95260515350).

It is a 2-persistent number, because it is pandigital, and so is 2⋅14113796578200 = 28227593156400, but 3⋅14113796578200 = 42341389734600 is not.

Almost surely, 2^{14113796578200} is an apocalyptic number.

14113796578200 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 14113796578200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27435028420800).

14113796578200 is an abundant number, since it is smaller than the sum of its proper divisors (40756260263400).

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

14113796578200 is a wasteful number, since it uses less digits than its factorization.

14113796578200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614054 (or 614033 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 14113796578200 in words is "fourteen trillion, one hundred thirteen billion, seven hundred ninety-six million, five hundred seventy-eight thousand, two hundred".