14003282160 has 640 divisors, whose sum is σ = 58907658240. Its totient is φ = 2984656896.

The previous prime is 14003282141. The next prime is 14003282173. The reversal of 14003282160 is 6128230041.

It is a super-2 number, since 2×14003282160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 40355107 + ... + 40355453.

It is an arithmetic number, because the mean of its divisors is an integer number (92043216).

Almost surely, 2^14003282160 is an apocalyptic number.

14003282160 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 14003282160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29453829120).

14003282160 is an abundant number, since it is smaller than the sum of its proper divisors (44904376080).

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

14003282160 is a wasteful number, since it uses less digits than its factorization.

14003282160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 14003282160 in words is "fourteen billion, three million, two hundred eighty-two thousand, one hundred sixty".