14348021453568 has 1728 divisors, whose sum is σ = 51517810606080. Its totient is φ = 3934332518400.

The previous prime is 14348021453527. The next prime is 14348021453569. The reversal of 14348021453568 is 86535412084341.

14348021453568 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 8 + 0 + 21 + 4 + 53 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14348021453569) 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 191 ways as a sum of consecutive naturals, for example, 39095426121 + ... + 39095426487.

Almost surely, 2^{14348021453568} is an apocalyptic number.

14348021453568 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 14348021453568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25758905303040).

14348021453568 is an abundant number, since it is smaller than the sum of its proper divisors (37169789152512).

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

14348021453568 is a wasteful number, since it uses less digits than its factorization.

14348021453568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 14348021453568 in words is "fourteen trillion, three hundred forty-eight billion, twenty-one million, four hundred fifty-three thousand, five hundred sixty-eight".