14532130560 has 144 divisors (see below), whose sum is σ = 46459760256. Its totient is φ = 3871248384.

The previous prime is 14532130559. The next prime is 14532130567. The reversal of 14532130560 is 6503123541.

It is a super-3 number, since 3×14532130560³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14532130567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7168267 + ... + 7170293.

It is an arithmetic number, because the mean of its divisors is an integer number (322637224).

Almost surely, 2^14532130560 is an apocalyptic number.

14532130560 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 14532130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23229880128).

14532130560 is an abundant number, since it is smaller than the sum of its proper divisors (31927629696).

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

14532130560 is a wasteful number, since it uses less digits than its factorization.

14532130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 14532130560 in words is "fourteen billion, five hundred thirty-two million, one hundred thirty thousand, five hundred sixty".