14256005201046 has 144 divisors (see below), whose sum is σ = 38059552982880. Its totient is φ = 3832034572800.

The previous prime is 14256005201021. The next prime is 14256005201051. The reversal of 14256005201046 is 64010250065241.

14256005201046 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 600 + 5 + 2 + 0 + 1 + 0 + 46 = 666.

14256005201046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14256005201046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38063340 + ... + 38436048.

It is an arithmetic number, because the mean of its divisors is an integer number (264302451270).

Almost surely, 2^{14256005201046} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14256005201046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19029776491440).

14256005201046 is an abundant number, since it is smaller than the sum of its proper divisors (23803547781834).

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

14256005201046 is a wasteful number, since it uses less digits than its factorization.

14256005201046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375299 (or 375289 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 14256005201046 its reverse (64010250065241), we get a palindrome (78266255266287).

The spelling of 14256005201046 in words is "fourteen trillion, two hundred fifty-six billion, five million, two hundred one thousand, forty-six".