14365080144 has 120 divisors (see below), whose sum is σ = 41100931872. Its totient is φ = 4681946880.

The previous prime is 14365080101. The next prime is 14365080161. The reversal of 14365080144 is 44108056341.

14365080144 is a `hidden beast` number, since 1 + 4 + 3 + 6 + 508 + 0 + 144 = 666.

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 = 14365080099 and 14365080108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2339959 + ... + 2346089.

Almost surely, 2^14365080144 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 14365080144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20550465936).

14365080144 is an abundant number, since it is smaller than the sum of its proper divisors (26735851728).

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

14365080144 is a wasteful number, since it uses less digits than its factorization.

14365080144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6505 (or 6496 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 14365080144 in words is "fourteen billion, three hundred sixty-five million, eighty thousand, one hundred forty-four".