14055138144 has 360 divisors, whose sum is σ = 45494673840. Its totient is φ = 4250824704.

The previous prime is 14055138067. The next prime is 14055138151. The reversal of 14055138144 is 44183155041.

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

It is a junction number, because it is equal to n+sod(n) for n = 14055138099 and 14055138108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21723229 + ... + 21723875.

It is an arithmetic number, because the mean of its divisors is an integer number (126374094).

Almost surely, 2^14055138144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14055138144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22747336920).

14055138144 is an abundant number, since it is smaller than the sum of its proper divisors (31439535696).

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

14055138144 is a wasteful number, since it uses less digits than its factorization.

14055138144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 14055138144 in words is "fourteen billion, fifty-five million, one hundred thirty-eight thousand, one hundred forty-four".