14346720000 has 720 divisors, whose sum is σ = 54978776160. Its totient is φ = 3732480000.

The previous prime is 14346719957. The next prime is 14346720023. The reversal of 14346720000 is 2764341.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 349919980 + ... + 349920020.

Almost surely, 2^14346720000 is an apocalyptic number.

14346720000 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 14346720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27489388080).

14346720000 is an abundant number, since it is smaller than the sum of its proper divisors (40632056160).

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

14346720000 is an frugal number, since it uses more digits than its factorization.

14346720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 14346720000 in words is "fourteen billion, three hundred forty-six million, seven hundred twenty thousand".