14118930720 has 384 divisors, whose sum is σ = 51438240000. Its totient is φ = 3612672000.

The previous prime is 14118930671. The next prime is 14118930731. The reversal of 14118930720 is 2703981141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31445056 + ... + 31445504.

It is an arithmetic number, because the mean of its divisors is an integer number (133953750).

Almost surely, 2^14118930720 is an apocalyptic number.

14118930720 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 14118930720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25719120000).

14118930720 is an abundant number, since it is smaller than the sum of its proper divisors (37319309280).

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

14118930720 is a wasteful number, since it uses less digits than its factorization.

14118930720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 14118930720 in words is "fourteen billion, one hundred eighteen million, nine hundred thirty thousand, seven hundred twenty".