12624251328 has 336 divisors, whose sum is σ = 40606675200. Its totient is φ = 3844039680.

The previous prime is 12624251317. The next prime is 12624251333. The reversal of 12624251328 is 82315242621.

12624251328 is a `hidden beast` number, since 1 + 2 + 624 + 2 + 5 + 1 + 3 + 28 = 666.

It is a super-3 number, since 3×12624251328³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12624251292 and 12624251301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40592293 + ... + 40592603.

It is an arithmetic number, because the mean of its divisors is an integer number (120853200).

Almost surely, 2^12624251328 is an apocalyptic number.

12624251328 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 12624251328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20303337600).

12624251328 is an abundant number, since it is smaller than the sum of its proper divisors (27982423872).

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

12624251328 is a wasteful number, since it uses less digits than its factorization.

12624251328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 468 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 12624251328 its reverse (82315242621), we get a palindrome (94939493949).

The spelling of 12624251328 in words is "twelve billion, six hundred twenty-four million, two hundred fifty-one thousand, three hundred twenty-eight".