12941948448 has 576 divisors, whose sum is σ = 46243612800. Its totient is φ = 3471206400.

The previous prime is 12941948443. The next prime is 12941948473. The reversal of 12941948448 is 84484914921.

12941948448 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 194 + 8 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12941948394 and 12941948403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12941948441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118733418 + ... + 118733526.

It is an arithmetic number, because the mean of its divisors is an integer number (80284050).

Almost surely, 2^12941948448 is an apocalyptic number.

12941948448 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 12941948448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23121806400).

12941948448 is an abundant number, since it is smaller than the sum of its proper divisors (33301664352).

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

12941948448 is a wasteful number, since it uses less digits than its factorization.

12941948448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 169 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 12941948448 in words is "twelve billion, nine hundred forty-one million, nine hundred forty-eight thousand, four hundred forty-eight".