14414022002133 has 12 divisors (see below), whose sum is σ = 22421812003500. Its totient is φ = 8870167385856.

The previous prime is 14414022002123. The next prime is 14414022002143. The reversal of 14414022002133 is 33120022041441.

14414022002133 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 402 + 200 + 21 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (14414022002123) and next prime (14414022002143).

It can be written as a sum of positive squares in 2 ways, for example, as 7753813377489 + 6660208624644 = 2784567^2 + 2580738^2 .

It is not a de Polignac number, because 14414022002133 - 2¹⁰ = 14414022001109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14414022002097 and 14414022002106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14414022002123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61598384508 + ... + 61598384741.

It is an arithmetic number, because the mean of its divisors is an integer number (1868484333625).

Almost surely, 2^{14414022002133} is an apocalyptic number.

14414022002133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14414022002133 is a deficient number, since it is larger than the sum of its proper divisors (8007790001367).

14414022002133 is a wasteful number, since it uses less digits than its factorization.

14414022002133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123196769268 (or 123196769265 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14414022002133 its reverse (33120022041441), we get a palindrome (47534044043574).

The spelling of 14414022002133 in words is "fourteen trillion, four hundred fourteen billion, twenty-two million, two thousand, one hundred thirty-three".