123413886288 has 240 divisors, whose sum is σ = 430948417536. Its totient is φ = 32030588160.

The previous prime is 123413886263. The next prime is 123413886311. The reversal of 123413886288 is 882688314321.

123413886288 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 1 + 3 + 8 + 8 + 628 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17371345 + ... + 17378447.

Almost surely, 2^123413886288 is an apocalyptic number.

123413886288 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 123413886288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215474208768).

123413886288 is an abundant number, since it is smaller than the sum of its proper divisors (307534531248).

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

123413886288 is a wasteful number, since it uses less digits than its factorization.

123413886288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8702 (or 8693 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 123413886288 in words is "one hundred twenty-three billion, four hundred thirteen million, eight hundred eighty-six thousand, two hundred eighty-eight".