14889216960 has 224 divisors, whose sum is σ = 52727961600. Its totient is φ = 3955184640.

The previous prime is 14889216959. The next prime is 14889216961. The reversal of 14889216960 is 6961298841.

14889216960 is a `hidden beast` number, since 1 + 488 + 92 + 16 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (14889216959) and next prime (14889216961).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14889216897 and 14889216906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14889216961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2338261 + ... + 2344619.

Almost surely, 2^14889216960 is an apocalyptic number.

14889216960 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 14889216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26363980800).

14889216960 is an abundant number, since it is smaller than the sum of its proper divisors (37838744640).

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

14889216960 is a wasteful number, since it uses less digits than its factorization.

14889216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 14889216960 in words is "fourteen billion, eight hundred eighty-nine million, two hundred sixteen thousand, nine hundred sixty".