14135142844992 has 224 divisors, whose sum is σ = 41056211064960. Its totient is φ = 4265383772160.

The previous prime is 14135142844913. The next prime is 14135142844993. The reversal of 14135142844992 is 29944824153141.

It is not an unprimeable number, because it can be changed into a prime (14135142844993) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 61884148 + ... + 62112140.

It is an arithmetic number, because the mean of its divisors is an integer number (183286656540).

Almost surely, 2^{14135142844992} is an apocalyptic number.

14135142844992 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 14135142844992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20528105532480).

14135142844992 is an abundant number, since it is smaller than the sum of its proper divisors (26921068219968).

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

14135142844992 is a wasteful number, since it uses less digits than its factorization.

14135142844992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228501 (or 228491 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The spelling of 14135142844992 in words is "fourteen trillion, one hundred thirty-five billion, one hundred forty-two million, eight hundred forty-four thousand, nine hundred ninety-two".