4123146413214 has 72 divisors (see below), whose sum is σ = 9026851050360. Its totient is φ = 1360165060800.

The previous prime is 4123146413209. The next prime is 4123146413233.

It is a happy number.

4123146413214 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 1 + 4 + 641 + 3 + 2 + 1 + 4 = 666.

4123146413214 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 614566092 + ... + 614572800.

It is an arithmetic number, because the mean of its divisors is an integer number (125372931255).

Almost surely, 2^{4123146413214} is an apocalyptic number.

4123146413214 is an abundant number, since it is smaller than the sum of its proper divisors (4903704637146).

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

4123146413214 is a wasteful number, since it uses less digits than its factorization.

4123146413214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10266 (or 10162 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 4123146413214 in words is "four trillion, one hundred twenty-three billion, one hundred forty-six million, four hundred thirteen thousand, two hundred fourteen".