14045144256 has 448 divisors, whose sum is σ = 49035248640. Its totient is φ = 3886202880.

The previous prime is 14045144233. The next prime is 14045144257. The reversal of 14045144256 is 65244154041.

14045144256 is a `hidden beast` number, since 140 + 451 + 44 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14045144256.

It is not an unprimeable number, because it can be changed into a prime (14045144257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27922501 + ... + 27923003.

It is an arithmetic number, because the mean of its divisors is an integer number (109453680).

Almost surely, 2^14045144256 is an apocalyptic number.

14045144256 is a gapful number since it is divisible by the number (16) 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 14045144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24517624320).

14045144256 is an abundant number, since it is smaller than the sum of its proper divisors (34990104384).

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

14045144256 is a wasteful number, since it uses less digits than its factorization.

14045144256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 14045144256 its reverse (65244154041), we get a palindrome (79289298297).

The spelling of 14045144256 in words is "fourteen billion, forty-five million, one hundred forty-four thousand, two hundred fifty-six".