12623413248 has 360 divisors, whose sum is σ = 39966321780. Its totient is φ = 3963617280.

The previous prime is 12623413177. The next prime is 12623413259. The reversal of 12623413248 is 84231432621.

12623413248 is a `hidden beast` number, since 1 + 2 + 623 + 4 + 1 + 3 + 24 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11726290944 + 897122304 = 108288^2 + 29952^2 .

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 307888108 + ... + 307888148.

Almost surely, 2^12623413248 is an apocalyptic number.

12623413248 is a gapful number since it is divisible by the number (18) 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 12623413248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19983160890).

12623413248 is an abundant number, since it is smaller than the sum of its proper divisors (27342908532).

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

12623413248 is an frugal number, since it uses more digits than its factorization.

12623413248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 75 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 12623413248 its reverse (84231432621), we get a palindrome (96854845869).

The spelling of 12623413248 in words is "twelve billion, six hundred twenty-three million, four hundred thirteen thousand, two hundred forty-eight".