12248432640 has 360 divisors, whose sum is σ = 43704624600. Its totient is φ = 3170893824.

The previous prime is 12248432621. The next prime is 12248432681. The reversal of 12248432640 is 4623484221.

12248432640 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 8 + 4 + 3 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3965976576 + 8282456064 = 62976^2 + 91008^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 = 12248432595 and 12248432604.

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, 27279136 + ... + 27279584.

It is an arithmetic number, because the mean of its divisors is an integer number (121401735).

Almost surely, 2^12248432640 is an apocalyptic number.

12248432640 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 12248432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21852312300).

12248432640 is an abundant number, since it is smaller than the sum of its proper divisors (31456191960).

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

12248432640 is an equidigital number, since it uses as much as digits as its factorization.

12248432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 12248432640 in words is "twelve billion, two hundred forty-eight million, four hundred thirty-two thousand, six hundred forty".