14681118720 has 384 divisors, whose sum is σ = 48910417920. Its totient is φ = 3757178880.

The previous prime is 14681118713. The next prime is 14681118761. The reversal of 14681118720 is 2781118641.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 115599297 + ... + 115599423.

It is an arithmetic number, because the mean of its divisors is an integer number (127370880).

Almost surely, 2^14681118720 is an apocalyptic number.

14681118720 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 14681118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24455208960).

14681118720 is an abundant number, since it is smaller than the sum of its proper divisors (34229299200).

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

14681118720 is a wasteful number, since it uses less digits than its factorization.

14681118720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The spelling of 14681118720 in words is "fourteen billion, six hundred eighty-one million, one hundred eighteen thousand, seven hundred twenty".