14414004101133 has 192 divisors, whose sum is σ = 27239992765440. Its totient is φ = 7138475495424.

The previous prime is 14414004101129. The next prime is 14414004101137. The reversal of 14414004101133 is 33110140041441.

14414004101133 is a `hidden beast` number, since 14 + 414 + 0 + 0 + 4 + 101 + 133 = 666.

It is an interprime number because it is at equal distance from previous prime (14414004101129) and next prime (14414004101137).

It is not a de Polignac number, because 14414004101133 - 2² = 14414004101129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14414004101097 and 14414004101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414004101137) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2199600585 + ... + 2199607137.

It is an arithmetic number, because the mean of its divisors is an integer number (141874962320).

Almost surely, 2^{14414004101133} is an apocalyptic number.

14414004101133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14414004101133 is a deficient number, since it is larger than the sum of its proper divisors (12825988664307).

14414004101133 is a wasteful number, since it uses less digits than its factorization.

14414004101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9148 (or 9145 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14414004101133 its reverse (33110140041441), we get a palindrome (47524144142574).

The spelling of 14414004101133 in words is "fourteen trillion, four hundred fourteen billion, four million, one hundred one thousand, one hundred thirty-three".