14012199936000 has 1344 divisors, whose sum is σ = 60275578671360. Its totient is φ = 3202478899200.

The previous prime is 14012199935977. The next prime is 14012199936011. The reversal of 14012199936000 is 63999121041.

14012199936000 is a `hidden beast` number, since 14 + 0 + 1 + 21 + 9 + 9 + 9 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1354746829 + ... + 1354757171.

Almost surely, 2^{14012199936000} is an apocalyptic number.

14012199936000 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 14012199936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30137789335680).

14012199936000 is an abundant number, since it is smaller than the sum of its proper divisors (46263378735360).

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

14012199936000 is an equidigital number, since it uses as much as digits as its factorization.

14012199936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10407 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 14012199936000 in words is "fourteen trillion, twelve billion, one hundred ninety-nine million, nine hundred thirty-six thousand".