14115206144 has 88 divisors (see below), whose sum is σ = 31095076320. Its totient is φ = 6362947584.

The previous prime is 14115206143. The next prime is 14115206167. The reversal of 14115206144 is 44160251141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14115206143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560087 + ... + 584745.

It is an arithmetic number, because the mean of its divisors is an integer number (353353140).

Almost surely, 2^14115206144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14115206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15547538160).

14115206144 is an abundant number, since it is smaller than the sum of its proper divisors (16979870176).

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

14115206144 is a wasteful number, since it uses less digits than its factorization.

14115206144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24735 (or 24717 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 14115206144 its reverse (44160251141), we get a palindrome (58275457285).

The spelling of 14115206144 in words is "fourteen billion, one hundred fifteen million, two hundred six thousand, one hundred forty-four".