12448629144 has 144 divisors (see below), whose sum is σ = 39309397920. Its totient is φ = 3548603520.

The previous prime is 12448629143. The next prime is 12448629199. The reversal of 12448629144 is 44192684421.

12448629144 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 8 + 629 + 14 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12448629144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12448629143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1629654 + ... + 1637274.

It is an arithmetic number, because the mean of its divisors is an integer number (272981930).

Almost surely, 2^12448629144 is an apocalyptic number.

12448629144 is a gapful number since it is divisible by the number (14) 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 12448629144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19654698960).

12448629144 is an abundant number, since it is smaller than the sum of its proper divisors (26860768776).

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

12448629144 is a wasteful number, since it uses less digits than its factorization.

12448629144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8110 (or 8096 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 12448629144 in words is "twelve billion, four hundred forty-eight million, six hundred twenty-nine thousand, one hundred forty-four".