123868126368 has 288 divisors, whose sum is σ = 439457840640. Its totient is φ = 33527934720.

The previous prime is 123868126367. The next prime is 123868126379. The reversal of 123868126368 is 863621868321.

123868126368 is a `hidden beast` number, since 123 + 86 + 81 + 2 + 6 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (123868126367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 974323 + ... + 1094093.

It is an arithmetic number, because the mean of its divisors is an integer number (1525895280).

Almost surely, 2^123868126368 is an apocalyptic number.

123868126368 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 123868126368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219728920320).

123868126368 is an abundant number, since it is smaller than the sum of its proper divisors (315589714272).

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

123868126368 is a wasteful number, since it uses less digits than its factorization.

123868126368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119822 (or 119802 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 123868126368 in words is "one hundred twenty-three billion, eight hundred sixty-eight million, one hundred twenty-six thousand, three hundred sixty-eight".