14741683568640 has 2352 divisors, whose sum is σ = 66014958038400. Its totient is φ = 3082108796928.

The previous prime is 14741683568639. The next prime is 14741683568681. The reversal of 14741683568640 is 4686538614741.

14741683568640 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 1 + 6 + 8 + 3 + 568 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 508333916146 + ... + 508333916174.

It is an arithmetic number, because the mean of its divisors is an integer number (28067584200).

Almost surely, 2^{14741683568640} is an apocalyptic number.

14741683568640 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 14741683568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33007479019200).

14741683568640 is an abundant number, since it is smaller than the sum of its proper divisors (51273274469760).

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

14741683568640 is an frugal number, since it uses more digits than its factorization.

14741683568640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 14741683568640 in words is "fourteen trillion, seven hundred forty-one billion, six hundred eighty-three million, five hundred sixty-eight thousand, six hundred forty".