14001201201348 has 144 divisors (see below), whose sum is σ = 36316949760000. Its totient is φ = 4545481328640.

The previous prime is 14001201201329. The next prime is 14001201201349. The reversal of 14001201201348 is 84310210210041.

14001201201348 is a `hidden beast` number, since 1 + 400 + 1 + 2 + 0 + 120 + 134 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (14001201201349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2977076365 + ... + 2977081067.

It is an arithmetic number, because the mean of its divisors is an integer number (252201040000).

Almost surely, 2^{14001201201348} is an apocalyptic number.

14001201201348 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 14001201201348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18158474880000).

14001201201348 is an abundant number, since it is smaller than the sum of its proper divisors (22315748558652).

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

14001201201348 is a wasteful number, since it uses less digits than its factorization.

14001201201348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 7757 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 14001201201348 its reverse (84310210210041), we get a palindrome (98311411411389).

The spelling of 14001201201348 in words is "fourteen trillion, one billion, two hundred one million, two hundred one thousand, three hundred forty-eight".