12628456452 has 72 divisors (see below), whose sum is σ = 33330495744. Its totient is φ = 4023968256.

The previous prime is 12628456447. The next prime is 12628456469. The reversal of 12628456452 is 25465482621.

12628456452 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 84 + 564 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12628456398 and 12628456407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1704468 + ... + 1711860.

It is an arithmetic number, because the mean of its divisors is an integer number (462923552).

Almost surely, 2^12628456452 is an apocalyptic number.

12628456452 is a gapful number since it is divisible by the number (12) 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 12628456452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16665247872).

12628456452 is an abundant number, since it is smaller than the sum of its proper divisors (20702039292).

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

12628456452 is a wasteful number, since it uses less digits than its factorization.

12628456452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9489 (or 9484 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 12628456452 in words is "twelve billion, six hundred twenty-eight million, four hundred fifty-six thousand, four hundred fifty-two".