14311349648640 has 432 divisors, whose sum is σ = 54111107284416. Its totient is φ = 3463387545600.

The previous prime is 14311349648567. The next prime is 14311349648653. The reversal of 14311349648640 is 4684694311341.

It is a happy number.

14311349648640 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 1 + 34 + 96 + 486 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73019575 + ... + 73215305.

It is an arithmetic number, because the mean of its divisors is an integer number (125257192788).

Almost surely, 2^{14311349648640} is an apocalyptic number.

14311349648640 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 14311349648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27055553642208).

14311349648640 is an abundant number, since it is smaller than the sum of its proper divisors (39799757635776).

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

14311349648640 is a wasteful number, since it uses less digits than its factorization.

14311349648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196346 (or 196329 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 14311349648640 in words is "fourteen trillion, three hundred eleven billion, three hundred forty-nine million, six hundred forty-eight thousand, six hundred forty".