12345644160 has 448 divisors, whose sum is σ = 45272234880. Its totient is φ = 3216402432.

The previous prime is 12345644147. The next prime is 12345644189. The reversal of 12345644160 is 6144654321.

12345644160 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 5 + 644 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 21928039 + ... + 21928601.

Almost surely, 2^12345644160 is an apocalyptic number.

12345644160 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 12345644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22636117440).

12345644160 is an abundant number, since it is smaller than the sum of its proper divisors (32926590720).

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

12345644160 is an frugal number, since it uses more digits than its factorization.

12345644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12345644160 in words is "twelve billion, three hundred forty-five million, six hundred forty-four thousand, one hundred sixty".