14811268140 has 144 divisors (see below), whose sum is σ = 46988218368. Its totient is φ = 3769299072.

The previous prime is 14811268123. The next prime is 14811268141. The reversal of 14811268140 is 4186211841.

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

It is a junction number, because it is equal to n+sod(n) for n = 14811268095 and 14811268104.

It is not an unprimeable number, because it can be changed into a prime (14811268141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1912957 + ... + 1920683.

It is an arithmetic number, because the mean of its divisors is an integer number (326307072).

Almost surely, 2^14811268140 is an apocalyptic number.

14811268140 is a gapful number since it is divisible by the number (10) 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 14811268140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23494109184).

14811268140 is an abundant number, since it is smaller than the sum of its proper divisors (32176950228).

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

14811268140 is a wasteful number, since it uses less digits than its factorization.

14811268140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8228 (or 8223 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 14811268140 its reverse (4186211841), we get a palindrome (18997479981).

It can be divided in two parts, 1481 and 1268140, that added together give a palindrome (1269621).

The spelling of 14811268140 in words is "fourteen billion, eight hundred eleven million, two hundred sixty-eight thousand, one hundred forty".