12629451744 has 576 divisors, whose sum is σ = 47199559680. Its totient is φ = 3199150080.

The previous prime is 12629451719. The next prime is 12629451803. The reversal of 12629451744 is 44715492621.

12629451744 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 94 + 517 + 44 = 666.

Its product of digits (483840) is a multiple of the sum of its prime factors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 12629451744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66122689 + ... + 66122879.

It is an arithmetic number, because the mean of its divisors is an integer number (81943680).

Almost surely, 2^12629451744 is an apocalyptic number.

12629451744 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 12629451744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23599779840).

12629451744 is an abundant number, since it is smaller than the sum of its proper divisors (34570107936).

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

12629451744 is a wasteful number, since it uses less digits than its factorization.

12629451744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 245 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 12629451744 in words is "twelve billion, six hundred twenty-nine million, four hundred fifty-one thousand, seven hundred forty-four".