12448695168 has 512 divisors, whose sum is σ = 47213107200. Its totient is φ = 3138600960.

The previous prime is 12448695167. The next prime is 12448695211. The reversal of 12448695168 is 86159684421.

12448695168 is a `hidden beast` number, since 1 + 2 + 44 + 86 + 9 + 516 + 8 = 666.

It is a super-2 number, since 2×12448695168² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12448695167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7232548 + ... + 7234268.

It is an arithmetic number, because the mean of its divisors is an integer number (92213100).

Almost surely, 2^12448695168 is an apocalyptic number.

12448695168 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 12448695168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23606553600).

12448695168 is an abundant number, since it is smaller than the sum of its proper divisors (34764412032).

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

12448695168 is a wasteful number, since it uses less digits than its factorization.

12448695168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1769 counting only the distinct ones).

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

The spelling of 12448695168 in words is "twelve billion, four hundred forty-eight million, six hundred ninety-five thousand, one hundred sixty-eight".