14289531840 has 336 divisors, whose sum is σ = 52119154080. Its totient is φ = 3685478400.

The previous prime is 14289531827. The next prime is 14289531863. The reversal of 14289531840 is 4813598241.

14289531840 is a `hidden beast` number, since 14 + 28 + 9 + 531 + 84 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8302180 + ... + 8303900.

It is an arithmetic number, because the mean of its divisors is an integer number (155116530).

Almost surely, 2^14289531840 is an apocalyptic number.

14289531840 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 14289531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26059577040).

14289531840 is an abundant number, since it is smaller than the sum of its proper divisors (37829622240).

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

14289531840 is a wasteful number, since it uses less digits than its factorization.

14289531840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 14289531840 in words is "fourteen billion, two hundred eighty-nine million, five hundred thirty-one thousand, eight hundred forty".