12801447648 has 216 divisors, whose sum is σ = 40227176808. Its totient is φ = 3858624000.

The previous prime is 12801447643. The next prime is 12801447653. The reversal of 12801447648 is 84674410821.

12801447648 is a `hidden beast` number, since 128 + 0 + 14 + 476 + 48 = 666.

12801447648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12801447643) and next prime (12801447653).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12801447643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7352058 + ... + 7353798.

Almost surely, 2^12801447648 is an apocalyptic number.

12801447648 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 12801447648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20113588404).

12801447648 is an abundant number, since it is smaller than the sum of its proper divisors (27425729160).

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

12801447648 is a wasteful number, since it uses less digits than its factorization.

12801447648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12801447648 in words is "twelve billion, eight hundred one million, four hundred forty-seven thousand, six hundred forty-eight".