12318146640 has 120 divisors (see below), whose sum is σ = 41666395680. Its totient is φ = 3261180672.

The previous prime is 12318146587. The next prime is 12318146651. The reversal of 12318146640 is 4664181321.

12318146640 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 8 + 1 + 4 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 12318146595 and 12318146604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38539 + ... + 161621.

It is an arithmetic number, because the mean of its divisors is an integer number (347219964).

Almost surely, 2^12318146640 is an apocalyptic number.

12318146640 is a gapful number since it is divisible by the number (10) 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 12318146640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20833197840).

12318146640 is an abundant number, since it is smaller than the sum of its proper divisors (29348249040).

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

12318146640 is a wasteful number, since it uses less digits than its factorization.

12318146640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123241 (or 123232 counting only the distinct ones).

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

The spelling of 12318146640 in words is "twelve billion, three hundred eighteen million, one hundred forty-six thousand, six hundred forty".