12314843136 has 144 divisors (see below), whose sum is σ = 35971954200. Its totient is φ = 4058284032.

The previous prime is 12314843131. The next prime is 12314843137. The reversal of 12314843136 is 63134841321.

12314843136 is a `hidden beast` number, since 12 + 31 + 484 + 3 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12314843136² (a number of 21 digits) contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 12314843136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12314843131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1636695 + ... + 1644201.

Almost surely, 2^12314843136 is an apocalyptic number.

12314843136 is a gapful number since it is divisible by the number (16) 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 12314843136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17985977100).

12314843136 is an abundant number, since it is smaller than the sum of its proper divisors (23657111064).

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

12314843136 is an equidigital number, since it uses as much as digits as its factorization.

12314843136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7624 (or 7601 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 12314843136 in words is "twelve billion, three hundred fourteen million, eight hundred forty-three thousand, one hundred thirty-six".