14128472160 has 288 divisors, whose sum is σ = 53822216448. Its totient is φ = 3345269760.

The previous prime is 14128472159. The next prime is 14128472179. The reversal of 14128472160 is 6127482141.

It is a happy number.

14128472160 is a `hidden beast` number, since 1 + 4 + 1 + 28 + 472 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×14128472160² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670749 + ... + 691491.

It is an arithmetic number, because the mean of its divisors is an integer number (186882696).

Almost surely, 2^14128472160 is an apocalyptic number.

14128472160 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 14128472160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26911108224).

14128472160 is an abundant number, since it is smaller than the sum of its proper divisors (39693744288).

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

14128472160 is a wasteful number, since it uses less digits than its factorization.

14128472160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20818 (or 20807 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

It can be divided in two parts, 141284 and 72160, that added together give a square (213444 = 462²).

The spelling of 14128472160 in words is "fourteen billion, one hundred twenty-eight million, four hundred seventy-two thousand, one hundred sixty".