12425319648 has 540 divisors, whose sum is σ = 45029243952. Its totient is φ = 3350833920.

The previous prime is 12425319619. The next prime is 12425319649. The reversal of 12425319648 is 84691352421.

12425319648 is a `hidden beast` number, since 1 + 24 + 2 + 531 + 96 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12425319649) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 45849753 + ... + 45850023.

Almost surely, 2^12425319648 is an apocalyptic number.

12425319648 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 12425319648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22514621976).

12425319648 is an abundant number, since it is smaller than the sum of its proper divisors (32603924304).

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

12425319648 is a wasteful number, since it uses less digits than its factorization.

12425319648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 302 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 12425319648 in words is "twelve billion, four hundred twenty-five million, three hundred nineteen thousand, six hundred forty-eight".