14381185728 has 224 divisors, whose sum is σ = 49296970240. Its totient is φ = 3593134080.

The previous prime is 14381185703. The next prime is 14381185739. The reversal of 14381185728 is 82758118341.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310308 + ... + 353628.

It is an arithmetic number, because the mean of its divisors is an integer number (220075760).

Almost surely, 2^14381185728 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 14381185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24648485120).

14381185728 is an abundant number, since it is smaller than the sum of its proper divisors (34915784512).

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

14381185728 is a wasteful number, since it uses less digits than its factorization.

14381185728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43375 (or 43365 counting only the distinct ones).

The product of its digits is 430080, while the sum is 48.

The spelling of 14381185728 in words is "fourteen billion, three hundred eighty-one million, one hundred eighty-five thousand, seven hundred twenty-eight".