123418368 has 216 divisors, whose sum is σ = 396029088. Its totient is φ = 36765696.

The previous prime is 123418367. The next prime is 123418369. The reversal of 123418368 is 863814321.

It is an interprime number because it is at equal distance from previous prime (123418367) and next prime (123418369).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123418367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 900796 + ... + 900932.

It is an arithmetic number, because the mean of its divisors is an integer number (1833468).

Almost surely, 2^123418368 is an apocalyptic number.

123418368 is a gapful number since it is divisible by the number (18) 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 123418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198014544).

123418368 is an abundant number, since it is smaller than the sum of its proper divisors (272610720).

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

123418368 is a wasteful number, since it uses less digits than its factorization.

123418368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 123418368 is about 11109.3819810105. The cubic root of 123418368 is about 497.8821998430.

The spelling of 123418368 in words is "one hundred twenty-three million, four hundred eighteen thousand, three hundred sixty-eight".