14146880000 has 200 divisors, whose sum is σ = 38541975120. Its totient is φ = 5143040000.

The previous prime is 14146879937. The next prime is 14146880003. The reversal of 14146880000 is 8864141.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (14146880003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3517991 + ... + 3522009.

Almost surely, 2^14146880000 is an apocalyptic number.

14146880000 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 14146880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19270987560).

14146880000 is an abundant number, since it is smaller than the sum of its proper divisors (24395095120).

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

14146880000 is an frugal number, since it uses more digits than its factorization.

14146880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 14146880000 in words is "fourteen billion, one hundred forty-six million, eight hundred eighty thousand".