123645114 has 48 divisors (see below), whose sum is σ = 286483392. Its totient is φ = 38404224.

The previous prime is 123645113. The next prime is 123645127. The reversal of 123645114 is 411546321.

It is a happy number.

123645114 is a `hidden beast` number, since 1 + 2 + 3 + 645 + 1 + 14 = 666.

It is a super-2 number, since 2×123645114² = 30576228432145992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123645113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29557 + ... + 33479.

It is an arithmetic number, because the mean of its divisors is an integer number (5968404).

Almost surely, 2^123645114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123645114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143241696).

123645114 is an abundant number, since it is smaller than the sum of its proper divisors (162838278).

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

123645114 is a wasteful number, since it uses less digits than its factorization.

123645114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051 (or 4048 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 123645114 is about 11119.5824561896. The cubic root of 123645114 is about 498.1869187529.

The spelling of 123645114 in words is "one hundred twenty-three million, six hundred forty-five thousand, one hundred fourteen".