14788830720 has 320 divisors, whose sum is σ = 51052446720. Its totient is φ = 3640885248.

The previous prime is 14788830659. The next prime is 14788830737. The reversal of 14788830720 is 2703888741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14788830720.

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, 5121117 + ... + 5124003.

It is an arithmetic number, because the mean of its divisors is an integer number (159538896).

Almost surely, 2^14788830720 is an apocalyptic number.

14788830720 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 14788830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25526223360).

14788830720 is an abundant number, since it is smaller than the sum of its proper divisors (36263616000).

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

14788830720 is a wasteful number, since it uses less digits than its factorization.

14788830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 14788830720 in words is "fourteen billion, seven hundred eighty-eight million, eight hundred thirty thousand, seven hundred twenty".