14480978688 has 288 divisors, whose sum is σ = 46950516480. Its totient is φ = 4366172160.

The previous prime is 14480978657. The next prime is 14480978719. The reversal of 14480978688 is 88687908441.

14480978688 is a `hidden beast` number, since 1 + 4 + 480 + 9 + 78 + 6 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (14480978657) and next prime (14480978719).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21516720 + ... + 21517392.

Almost surely, 2^14480978688 is an apocalyptic number.

14480978688 is a gapful number since it is divisible by the number (18) 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 14480978688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23475258240).

14480978688 is an abundant number, since it is smaller than the sum of its proper divisors (32469537792).

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

14480978688 is a wasteful number, since it uses less digits than its factorization.

14480978688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 14480978688 in words is "fourteen billion, four hundred eighty million, nine hundred seventy-eight thousand, six hundred eighty-eight".