12916568448 has 960 divisors, whose sum is σ = 50784861600. Its totient is φ = 3177086976.

The previous prime is 12916568443. The next prime is 12916568449. The reversal of 12916568448 is 84486561921.

12916568448 is a `hidden beast` number, since 1 + 29 + 16 + 568 + 4 + 48 = 666.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12916568394 and 12916568403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12916568443) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 445398898 + ... + 445398926.

Almost surely, 2^12916568448 is an apocalyptic number.

12916568448 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 12916568448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25392430800).

12916568448 is an abundant number, since it is smaller than the sum of its proper divisors (37868293152).

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

12916568448 is a wasteful number, since it uses less digits than its factorization.

12916568448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 77 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 12916568448 in words is "twelve billion, nine hundred sixteen million, five hundred sixty-eight thousand, four hundred forty-eight".