14209975938816 has 432 divisors, whose sum is σ = 50987884147200. Its totient is φ = 3713675599872.

The previous prime is 14209975938773. The next prime is 14209975938827. The reversal of 14209975938816 is 61883957990241.

14209975938816 is a `hidden beast` number, since 1 + 4 + 20 + 9 + 9 + 7 + 593 + 8 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8087005 + ... + 9686051.

It is an arithmetic number, because the mean of its divisors is an integer number (118027509600).

It is a 1-persistent number, because it is pandigital, but 2⋅14209975938816 = 28419951877632 is not.

Almost surely, 2^{14209975938816} is an apocalyptic number.

14209975938816 is a gapful number since it is divisible by the number (16) 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 14209975938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25493942073600).

14209975938816 is an abundant number, since it is smaller than the sum of its proper divisors (36777908208384).

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

14209975938816 is a wasteful number, since it uses less digits than its factorization.

14209975938816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599124 (or 1599107 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 14209975938816 in words is "fourteen trillion, two hundred nine billion, nine hundred seventy-five million, nine hundred thirty-eight thousand, eight hundred sixteen".