12541830048 has 180 divisors, whose sum is σ = 40544221410. Its totient is φ = 3800459520.

The previous prime is 12541830047. The next prime is 12541830073. The reversal of 12541830048 is 84003814521.

It can be written as a sum of positive squares in only one way, i.e., 12032334864 + 509495184 = 109692^2 + 22572^2 .

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 = 12541829994 and 12541830021.

It is not an unprimeable number, because it can be changed into a prime (12541830047) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 293638 + ... + 333626.

Almost surely, 2^12541830048 is an apocalyptic number.

12541830048 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 12541830048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20272110705).

12541830048 is an abundant number, since it is smaller than the sum of its proper divisors (28002391362).

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

12541830048 is a wasteful number, since it uses less digits than its factorization.

12541830048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40033 (or 40005 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12541830048 in words is "twelve billion, five hundred forty-one million, eight hundred thirty thousand, forty-eight".