14213712960 has 336 divisors, whose sum is σ = 51609467520. Its totient is φ = 3583303680.

The previous prime is 14213712941. The next prime is 14213712977. The reversal of 14213712960 is 6921731241.

It is a super-2 number, since 2×14213712960² (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 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 47 ways as a sum of consecutive naturals, for example, 5894155 + ... + 5896565.

Almost surely, 2^14213712960 is an apocalyptic number.

14213712960 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 14213712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25804733760).

14213712960 is an abundant number, since it is smaller than the sum of its proper divisors (37395754560).

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

14213712960 is a wasteful number, since it uses less digits than its factorization.

14213712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 14213712960 in words is "fourteen billion, two hundred thirteen million, seven hundred twelve thousand, nine hundred sixty".