14265010144 has 144 divisors (see below), whose sum is σ = 35765498160. Its totient is φ = 5538140160.

The previous prime is 14265010141. The next prime is 14265010153. The reversal of 14265010144 is 44101056241.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14265010141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5466312 + ... + 5468920.

It is an arithmetic number, because the mean of its divisors is an integer number (248371515).

Almost surely, 2^14265010144 is an apocalyptic number.

14265010144 is a gapful number since it is divisible by the number (14) 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 14265010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882749080).

14265010144 is an abundant number, since it is smaller than the sum of its proper divisors (21500488016).

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

14265010144 is a wasteful number, since it uses less digits than its factorization.

14265010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 14265010144 its reverse (44101056241), we get a palindrome (58366066385).

It can be divided in two parts, 142650 and 10144, that multiplied together give a square (1447041600 = 38040²).

The spelling of 14265010144 in words is "fourteen billion, two hundred sixty-five million, ten thousand, one hundred forty-four".