123631183872 has 576 divisors, whose sum is σ = 441879459840. Its totient is φ = 33765507072.

The previous prime is 123631183867. The next prime is 123631183883. The reversal of 123631183872 is 278381136321.

123631183872 is a `hidden beast` number, since 1 + 2 + 3 + 631 + 1 + 8 + 3 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80123133 + ... + 80124675.

It is an arithmetic number, because the mean of its divisors is an integer number (767151840).

Almost surely, 2^123631183872 is an apocalyptic number.

123631183872 is a gapful number since it is divisible by the number (12) 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 123631183872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220939729920).

123631183872 is an abundant number, since it is smaller than the sum of its proper divisors (318248275968).

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

123631183872 is an equidigital number, since it uses as much as digits as its factorization.

123631183872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1578 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 123631183872 in words is "one hundred twenty-three billion, six hundred thirty-one million, one hundred eighty-three thousand, eight hundred seventy-two".