12448740096 has 216 divisors, whose sum is σ = 39866462160. Its totient is φ = 3830022144.

The previous prime is 12448740089. The next prime is 12448740103. The reversal of 12448740096 is 69004784421.

12448740096 is a `hidden beast` number, since 124 + 487 + 40 + 0 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12448740089) and next prime (12448740103).

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×12448740096² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1162800 + ... + 1173456.

Almost surely, 2^12448740096 is an apocalyptic number.

12448740096 is a gapful number since it is divisible by the number (16) 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 12448740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19933231080).

12448740096 is an abundant number, since it is smaller than the sum of its proper divisors (27417722064).

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

12448740096 is a wasteful number, since it uses less digits than its factorization.

12448740096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10708 (or 10675 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12448740096 in words is "twelve billion, four hundred forty-eight million, seven hundred forty thousand, ninety-six".