14110001134416 has 320 divisors, whose sum is σ = 46240751831040. Its totient is φ = 4077708687360.

The previous prime is 14110001134391. The next prime is 14110001134417. The reversal of 14110001134416 is 61443110001141.

14110001134416 is a `hidden beast` number, since 1 + 4 + 1 + 100 + 0 + 113 + 441 + 6 = 666.

It is a super-2 number, since 2×14110001134416² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 14110001134416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14110001134417) 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, 36641211 + ... + 37024293.

It is an arithmetic number, because the mean of its divisors is an integer number (144502349472).

Almost surely, 2^{14110001134416} is an apocalyptic number.

14110001134416 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 14110001134416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23120375915520).

14110001134416 is an abundant number, since it is smaller than the sum of its proper divisors (32130750696624).

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

14110001134416 is a wasteful number, since it uses less digits than its factorization.

14110001134416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383471 (or 383459 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 14110001134416 its reverse (61443110001141), we get a palindrome (75553111135557).

The spelling of 14110001134416 in words is "fourteen trillion, one hundred ten billion, one million, one hundred thirty-four thousand, four hundred sixteen".