14488320000 has 960 divisors, whose sum is σ = 61405344000. Its totient is φ = 3010560000.

The previous prime is 14488319977. The next prime is 14488320031. The reversal of 14488320000 is 2388441.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×14488320000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 14488320000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1317119995 + ... + 1317120005.

It is an arithmetic number, because the mean of its divisors is an integer number (63963900).

Almost surely, 2^14488320000 is an apocalyptic number.

14488320000 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 14488320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30702672000).

14488320000 is an abundant number, since it is smaller than the sum of its proper divisors (46917024000).

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

14488320000 is an frugal number, since it uses more digits than its factorization.

14488320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 14488320000 in words is "fourteen billion, four hundred eighty-eight million, three hundred twenty thousand".