14121165344 has 96 divisors (see below), whose sum is σ = 33787938240. Its totient is φ = 5720601600.

The previous prime is 14121165337. The next prime is 14121165349. The reversal of 14121165344 is 44356112141.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 14121165344.

It is not an unprimeable number, because it can be changed into a prime (14121165349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79499 + ... + 185909.

It is an arithmetic number, because the mean of its divisors is an integer number (351957690).

Almost surely, 2^14121165344 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 14121165344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16893969120).

14121165344 is an abundant number, since it is smaller than the sum of its proper divisors (19666772896).

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

14121165344 is a wasteful number, since it uses less digits than its factorization.

14121165344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106474 (or 106466 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

Adding to 14121165344 its reverse (44356112141), we get a palindrome (58477277485).

The spelling of 14121165344 in words is "fourteen billion, one hundred twenty-one million, one hundred sixty-five thousand, three hundred forty-four".