14054940764928 has 576 divisors, whose sum is σ = 48693299558400. Its totient is φ = 3916098109440.

The previous prime is 14054940764923. The next prime is 14054940764947. The reversal of 14054940764928 is 82946704945041.

14054940764928 is a `hidden beast` number, since 1 + 4 + 0 + 54 + 94 + 0 + 7 + 6 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (14054940764923) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 314328493 + ... + 314373203.

It is an arithmetic number, because the mean of its divisors is an integer number (84536978400).

Almost surely, 2^{14054940764928} is an apocalyptic number.

14054940764928 is a gapful number since it is divisible by the number (18) 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 14054940764928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24346649779200).

14054940764928 is an abundant number, since it is smaller than the sum of its proper divisors (34638358793472).

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

14054940764928 is an equidigital number, since it uses as much as digits as its factorization.

14054940764928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44905 (or 44885 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 14054940764928 in words is "fourteen trillion, fifty-four billion, nine hundred forty million, seven hundred sixty-four thousand, nine hundred twenty-eight".