12348376560 has 320 divisors, whose sum is σ = 46113298560. Its totient is φ = 3019161600.

The previous prime is 12348376541. The next prime is 12348376567. The reversal of 12348376560 is 6567384321.

12348376560 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 83 + 7 + 6 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12348376567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4407160 + ... + 4409960.

It is an arithmetic number, because the mean of its divisors is an integer number (144104058).

Almost surely, 2^12348376560 is an apocalyptic number.

12348376560 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 12348376560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23056649280).

12348376560 is an abundant number, since it is smaller than the sum of its proper divisors (33764922000).

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

12348376560 is a wasteful number, since it uses less digits than its factorization.

12348376560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12348376560 in words is "twelve billion, three hundred forty-eight million, three hundred seventy-six thousand, five hundred sixty".