12345384960 has 420 divisors, whose sum is σ = 44995221414. Its totient is φ = 3238133760.

The previous prime is 12345384943. The next prime is 12345384971. The reversal of 12345384960 is 6948354321.

12345384960 is a `hidden beast` number, since 1 + 23 + 4 + 538 + 4 + 96 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2869530624 + 9475854336 = 53568^2 + 97344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 202383330 + ... + 202383390.

Almost surely, 2^12345384960 is an apocalyptic number.

12345384960 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 12345384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22497610707).

12345384960 is an abundant number, since it is smaller than the sum of its proper divisors (32649836454).

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

12345384960 is an frugal number, since it uses more digits than its factorization.

12345384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 12345384960 in words is "twelve billion, three hundred forty-five million, three hundred eighty-four thousand, nine hundred sixty".