14145968760 has 768 divisors, whose sum is σ = 57939287040. Its totient is φ = 2724986880.

The previous prime is 14145968743. The next prime is 14145968803. The reversal of 14145968760 is 6786954141.

14145968760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55042552 + ... + 55042808.

It is an arithmetic number, because the mean of its divisors is an integer number (75441780).

Almost surely, 2^14145968760 is an apocalyptic number.

14145968760 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 14145968760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28969643520).

14145968760 is an abundant number, since it is smaller than the sum of its proper divisors (43793318280).

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

14145968760 is a wasteful number, since it uses less digits than its factorization.

14145968760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 14145968760 in words is "fourteen billion, one hundred forty-five million, nine hundred sixty-eight thousand, seven hundred sixty".