14459091360 has 384 divisors, whose sum is σ = 53201111040. Its totient is φ = 3232935936.

The previous prime is 14459091337. The next prime is 14459091401. The reversal of 14459091360 is 6319095441.

14459091360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38764134 + ... + 38764506.

It is an arithmetic number, because the mean of its divisors is an integer number (138544560).

Almost surely, 2^14459091360 is an apocalyptic number.

14459091360 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 14459091360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26600555520).

14459091360 is an abundant number, since it is smaller than the sum of its proper divisors (38742019680).

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

14459091360 is a wasteful number, since it uses less digits than its factorization.

14459091360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 14459091360 in words is "fourteen billion, four hundred fifty-nine million, ninety-one thousand, three hundred sixty".